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Finding the Fourth Proportional to 417.96, 576.27 and 342.99

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Solution

The fourth proportional to 417.96, 576.27 and 342.99 is: 472.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.96 : 576.27 = 342.99 : x
  2. Step 2: Convert to fraction form
    417.96/576.27 = 342.99/x
  3. Step 3: Cross multiply
    417.96x = 576.27 × 342.99
  4. Step 4: Simplify right side
    417.96x = 197,654.85
  5. Step 5: Solve for x
    x = 197,654.85/417.96
  6. Step 6: Final answer
    x = 472.90

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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.