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Finding the Fourth Proportional to 477.14, 657.72 and 336.80

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Solution

The fourth proportional to 477.14, 657.72 and 336.80 is: 464.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.14 : 657.72 = 336.80 : x
  2. Step 2: Convert to fraction form
    477.14/657.72 = 336.80/x
  3. Step 3: Cross multiply
    477.14x = 657.72 × 336.80
  4. Step 4: Simplify right side
    477.14x = 221,520.10
  5. Step 5: Solve for x
    x = 221,520.10/477.14
  6. Step 6: Final answer
    x = 464.27

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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.