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Finding the Fourth Proportional to 317.77, 472.55 and 308.03

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Solution

The fourth proportional to 317.77, 472.55 and 308.03 is: 458.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.77 : 472.55 = 308.03 : x
  2. Step 2: Convert to fraction form
    317.77/472.55 = 308.03/x
  3. Step 3: Cross multiply
    317.77x = 472.55 × 308.03
  4. Step 4: Simplify right side
    317.77x = 145,555.67
  5. Step 5: Solve for x
    x = 145,555.67/317.77
  6. Step 6: Final answer
    x = 458.06

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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.