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Finding the Fourth Proportional to 317.20, 437.32 and 234.16

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Solution

The fourth proportional to 317.20, 437.32 and 234.16 is: 322.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.20 : 437.32 = 234.16 : x
  2. Step 2: Convert to fraction form
    317.20/437.32 = 234.16/x
  3. Step 3: Cross multiply
    317.20x = 437.32 × 234.16
  4. Step 4: Simplify right side
    317.20x = 102,402.85
  5. Step 5: Solve for x
    x = 102,402.85/317.20
  6. Step 6: Final answer
    x = 322.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.