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Finding the Fourth Proportional to 348.38, 520.57 and 265.66

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Solution

The fourth proportional to 348.38, 520.57 and 265.66 is: 396.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.38 : 520.57 = 265.66 : x
  2. Step 2: Convert to fraction form
    348.38/520.57 = 265.66/x
  3. Step 3: Cross multiply
    348.38x = 520.57 × 265.66
  4. Step 4: Simplify right side
    348.38x = 138,294.63
  5. Step 5: Solve for x
    x = 138,294.63/348.38
  6. Step 6: Final answer
    x = 396.96

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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.