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Finding the Fourth Proportional to 477.14, 658.08 and 280.58

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Solution

The fourth proportional to 477.14, 658.08 and 280.58 is: 386.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.14 : 658.08 = 280.58 : x
  2. Step 2: Convert to fraction form
    477.14/658.08 = 280.58/x
  3. Step 3: Cross multiply
    477.14x = 658.08 × 280.58
  4. Step 4: Simplify right side
    477.14x = 184,644.09
  5. Step 5: Solve for x
    x = 184,644.09/477.14
  6. Step 6: Final answer
    x = 386.98

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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.