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Finding the Fourth Proportional to 348.61, 523 and 165.91

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Solution

The fourth proportional to 348.61, 523 and 165.91 is: 248.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.61 : 523 = 165.91 : x
  2. Step 2: Convert to fraction form
    348.61/523 = 165.91/x
  3. Step 3: Cross multiply
    348.61x = 523 × 165.91
  4. Step 4: Simplify right side
    348.61x = 86,770.93
  5. Step 5: Solve for x
    x = 86,770.93/348.61
  6. Step 6: Final answer
    x = 248.91

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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.