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Finding the Fourth Proportional to 477.36, 658.87 and 366.66

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Solution

The fourth proportional to 477.36, 658.87 and 366.66 is: 506.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.36 : 658.87 = 366.66 : x
  2. Step 2: Convert to fraction form
    477.36/658.87 = 366.66/x
  3. Step 3: Cross multiply
    477.36x = 658.87 × 366.66
  4. Step 4: Simplify right side
    477.36x = 241,580.36
  5. Step 5: Solve for x
    x = 241,580.36/477.36
  6. Step 6: Final answer
    x = 506.08

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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.