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Finding the Fourth Proportional to 442.16, 658.42 and 437.30

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Solution

The fourth proportional to 442.16, 658.42 and 437.30 is: 651.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.16 : 658.42 = 437.30 : x
  2. Step 2: Convert to fraction form
    442.16/658.42 = 437.30/x
  3. Step 3: Cross multiply
    442.16x = 658.42 × 437.30
  4. Step 4: Simplify right side
    442.16x = 287,930.63
  5. Step 5: Solve for x
    x = 287,930.63/442.16
  6. Step 6: Final answer
    x = 651.19

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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.