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Finding the Fourth Proportional to 477, 657.03 and 366.30

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Solution

The fourth proportional to 477, 657.03 and 366.30 is: 504.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    477 : 657.03 = 366.30 : x
  2. Step 2: Convert to fraction form
    477/657.03 = 366.30/x
  3. Step 3: Cross multiply
    477x = 657.03 × 366.30
  4. Step 4: Simplify right side
    477x = 240,670.09
  5. Step 5: Solve for x
    x = 240,670.09/477
  6. Step 6: Final answer
    x = 504.55

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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.