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Finding the Fourth Proportional to 477.04, 658.38 and 280.67

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Solution

The fourth proportional to 477.04, 658.38 and 280.67 is: 387.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.04 : 658.38 = 280.67 : x
  2. Step 2: Convert to fraction form
    477.04/658.38 = 280.67/x
  3. Step 3: Cross multiply
    477.04x = 658.38 × 280.67
  4. Step 4: Simplify right side
    477.04x = 184,783.70
  5. Step 5: Solve for x
    x = 184,783.70/477.04
  6. Step 6: Final answer
    x = 387.36

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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.