Home / 406.42-560.78-231.74

Finding the Fourth Proportional to 406.42, 560.78 and 231.74

Calculator

Solution

The fourth proportional to 406.42, 560.78 and 231.74 is: 319.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.42 : 560.78 = 231.74 : x
  2. Step 2: Convert to fraction form
    406.42/560.78 = 231.74/x
  3. Step 3: Cross multiply
    406.42x = 560.78 × 231.74
  4. Step 4: Simplify right side
    406.42x = 129,955.16
  5. Step 5: Solve for x
    x = 129,955.16/406.42
  6. Step 6: Final answer
    x = 319.76

Related Problems

Find fourth proportional to 203.21, 280.39 and 115.87
Half scale
Find fourth proportional to 812.84, 1,121.56 and 463.48
Double scale
Find fourth proportional to 407.42, 562.16 and 232.74
Similar ratio
Find fourth proportional to 609.63, 841.17 and 347.61
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.