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Finding the Fourth Proportional to 354.57, 527.67 and 341.61

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Solution

The fourth proportional to 354.57, 527.67 and 341.61 is: 508.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.57 : 527.67 = 341.61 : x
  2. Step 2: Convert to fraction form
    354.57/527.67 = 341.61/x
  3. Step 3: Cross multiply
    354.57x = 527.67 × 341.61
  4. Step 4: Simplify right side
    354.57x = 180,257.35
  5. Step 5: Solve for x
    x = 180,257.35/354.57
  6. Step 6: Final answer
    x = 508.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.