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Finding the Fourth Proportional to 385.66, 575.24 and 374.14

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Solution

The fourth proportional to 385.66, 575.24 and 374.14 is: 558.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.66 : 575.24 = 374.14 : x
  2. Step 2: Convert to fraction form
    385.66/575.24 = 374.14/x
  3. Step 3: Cross multiply
    385.66x = 575.24 × 374.14
  4. Step 4: Simplify right side
    385.66x = 215,220.29
  5. Step 5: Solve for x
    x = 215,220.29/385.66
  6. Step 6: Final answer
    x = 558.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.