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Finding the Fourth Proportional to 389.32, 537.10 and 234.04

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Solution

The fourth proportional to 389.32, 537.10 and 234.04 is: 322.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.32 : 537.10 = 234.04 : x
  2. Step 2: Convert to fraction form
    389.32/537.10 = 234.04/x
  3. Step 3: Cross multiply
    389.32x = 537.10 × 234.04
  4. Step 4: Simplify right side
    389.32x = 125,702.88
  5. Step 5: Solve for x
    x = 125,702.88/389.32
  6. Step 6: Final answer
    x = 322.88

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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.