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Finding the Fourth Proportional to 317.24, 472.11 and 307.11

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Solution

The fourth proportional to 317.24, 472.11 and 307.11 is: 457.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.24 : 472.11 = 307.11 : x
  2. Step 2: Convert to fraction form
    317.24/472.11 = 307.11/x
  3. Step 3: Cross multiply
    317.24x = 472.11 × 307.11
  4. Step 4: Simplify right side
    317.24x = 144,989.70
  5. Step 5: Solve for x
    x = 144,989.70/317.24
  6. Step 6: Final answer
    x = 457.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.