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Finding the Fourth Proportional to 360.32, 537.06 and 348.47

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Solution

The fourth proportional to 360.32, 537.06 and 348.47 is: 519.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.32 : 537.06 = 348.47 : x
  2. Step 2: Convert to fraction form
    360.32/537.06 = 348.47/x
  3. Step 3: Cross multiply
    360.32x = 537.06 × 348.47
  4. Step 4: Simplify right side
    360.32x = 187,149.30
  5. Step 5: Solve for x
    x = 187,149.30/360.32
  6. Step 6: Final answer
    x = 519.40

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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.