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Finding the Fourth Proportional to 317.52, 475.93 and 135.04

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Solution

The fourth proportional to 317.52, 475.93 and 135.04 is: 202.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.52 : 475.93 = 135.04 : x
  2. Step 2: Convert to fraction form
    317.52/475.93 = 135.04/x
  3. Step 3: Cross multiply
    317.52x = 475.93 × 135.04
  4. Step 4: Simplify right side
    317.52x = 64,269.59
  5. Step 5: Solve for x
    x = 64,269.59/317.52
  6. Step 6: Final answer
    x = 202.41

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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.