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Finding the Fourth Proportional to 317.65, 476.32 and 144.31

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Solution

The fourth proportional to 317.65, 476.32 and 144.31 is: 216.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.65 : 476.32 = 144.31 : x
  2. Step 2: Convert to fraction form
    317.65/476.32 = 144.31/x
  3. Step 3: Cross multiply
    317.65x = 476.32 × 144.31
  4. Step 4: Simplify right side
    317.65x = 68,737.74
  5. Step 5: Solve for x
    x = 68,737.74/317.65
  6. Step 6: Final answer
    x = 216.39

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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.