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Finding the Fourth Proportional to 360.52, 537.65 and 347.92

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Solution

The fourth proportional to 360.52, 537.65 and 347.92 is: 518.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.52 : 537.65 = 347.92 : x
  2. Step 2: Convert to fraction form
    360.52/537.65 = 347.92/x
  3. Step 3: Cross multiply
    360.52x = 537.65 × 347.92
  4. Step 4: Simplify right side
    360.52x = 187,059.19
  5. Step 5: Solve for x
    x = 187,059.19/360.52
  6. Step 6: Final answer
    x = 518.86

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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.