Home / 472.84-709.48-199

Finding the Fourth Proportional to 472.84, 709.48 and 199

Calculator

Solution

The fourth proportional to 472.84, 709.48 and 199 is: 298.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.84 : 709.48 = 199 : x
  2. Step 2: Convert to fraction form
    472.84/709.48 = 199/x
  3. Step 3: Cross multiply
    472.84x = 709.48 × 199
  4. Step 4: Simplify right side
    472.84x = 141,186.52
  5. Step 5: Solve for x
    x = 141,186.52/472.84
  6. Step 6: Final answer
    x = 298.59

Related Problems

Find fourth proportional to 236.42, 354.74 and 99.50
Half scale
Find fourth proportional to 945.68, 1,418.96 and 398
Double scale
Find fourth proportional to 473.84, 710.98 and 200
Similar ratio
Find fourth proportional to 709.26, 1,064.22 and 298.50
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.