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Finding the Fourth Proportional to 317.78, 472.91 and 306.26

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Solution

The fourth proportional to 317.78, 472.91 and 306.26 is: 455.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.78 : 472.91 = 306.26 : x
  2. Step 2: Convert to fraction form
    317.78/472.91 = 306.26/x
  3. Step 3: Cross multiply
    317.78x = 472.91 × 306.26
  4. Step 4: Simplify right side
    317.78x = 144,833.42
  5. Step 5: Solve for x
    x = 144,833.42/317.78
  6. Step 6: Final answer
    x = 455.77

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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.