Home / 193.14-289.77-77.64

Finding the Fourth Proportional to 193.14, 289.77 and 77.64

Calculator

Solution

The fourth proportional to 193.14, 289.77 and 77.64 is: 116.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.14 : 289.77 = 77.64 : x
  2. Step 2: Convert to fraction form
    193.14/289.77 = 77.64/x
  3. Step 3: Cross multiply
    193.14x = 289.77 × 77.64
  4. Step 4: Simplify right side
    193.14x = 22,497.74
  5. Step 5: Solve for x
    x = 22,497.74/193.14
  6. Step 6: Final answer
    x = 116.48

Related Problems

Find fourth proportional to 96.57, 144.89 and 38.82
Half scale
Find fourth proportional to 386.28, 579.54 and 155.28
Double scale
Find fourth proportional to 194.14, 291.27 and 78.64
Similar ratio
Find fourth proportional to 289.71, 434.66 and 116.46
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.