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Finding the Fourth Proportional to 477.06, 658.44 and 302.82

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Solution

The fourth proportional to 477.06, 658.44 and 302.82 is: 417.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.06 : 658.44 = 302.82 : x
  2. Step 2: Convert to fraction form
    477.06/658.44 = 302.82/x
  3. Step 3: Cross multiply
    477.06x = 658.44 × 302.82
  4. Step 4: Simplify right side
    477.06x = 199,388.80
  5. Step 5: Solve for x
    x = 199,388.80/477.06
  6. Step 6: Final answer
    x = 417.95

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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.