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Finding the Fourth Proportional to 477.07, 658.18 and 299.95

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Solution

The fourth proportional to 477.07, 658.18 and 299.95 is: 413.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.07 : 658.18 = 299.95 : x
  2. Step 2: Convert to fraction form
    477.07/658.18 = 299.95/x
  3. Step 3: Cross multiply
    477.07x = 658.18 × 299.95
  4. Step 4: Simplify right side
    477.07x = 197,418.70
  5. Step 5: Solve for x
    x = 197,418.70/477.07
  6. Step 6: Final answer
    x = 413.82

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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.