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Finding the Fourth Proportional to 385.32, 530.62 and 344.12

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Solution

The fourth proportional to 385.32, 530.62 and 344.12 is: 473.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.32 : 530.62 = 344.12 : x
  2. Step 2: Convert to fraction form
    385.32/530.62 = 344.12/x
  3. Step 3: Cross multiply
    385.32x = 530.62 × 344.12
  4. Step 4: Simplify right side
    385.32x = 182,596.95
  5. Step 5: Solve for x
    x = 182,596.95/385.32
  6. Step 6: Final answer
    x = 473.88

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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.