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Finding the Fourth Proportional to 477.11, 714.09 and 257.42

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Solution

The fourth proportional to 477.11, 714.09 and 257.42 is: 385.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.11 : 714.09 = 257.42 : x
  2. Step 2: Convert to fraction form
    477.11/714.09 = 257.42/x
  3. Step 3: Cross multiply
    477.11x = 714.09 × 257.42
  4. Step 4: Simplify right side
    477.11x = 183,821.05
  5. Step 5: Solve for x
    x = 183,821.05/477.11
  6. Step 6: Final answer
    x = 385.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.