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Finding the Fourth Proportional to 385.14, 531.08 and 353.93

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Solution

The fourth proportional to 385.14, 531.08 and 353.93 is: 488.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.14 : 531.08 = 353.93 : x
  2. Step 2: Convert to fraction form
    385.14/531.08 = 353.93/x
  3. Step 3: Cross multiply
    385.14x = 531.08 × 353.93
  4. Step 4: Simplify right side
    385.14x = 187,965.14
  5. Step 5: Solve for x
    x = 187,965.14/385.14
  6. Step 6: Final answer
    x = 488.04

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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.