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Finding the Fourth Proportional to 317.36, 476.16 and 154.92

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Solution

The fourth proportional to 317.36, 476.16 and 154.92 is: 232.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.36 : 476.16 = 154.92 : x
  2. Step 2: Convert to fraction form
    317.36/476.16 = 154.92/x
  3. Step 3: Cross multiply
    317.36x = 476.16 × 154.92
  4. Step 4: Simplify right side
    317.36x = 73,766.71
  5. Step 5: Solve for x
    x = 73,766.71/317.36
  6. Step 6: Final answer
    x = 232.44

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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.