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Finding the Fourth Proportional to 360.53, 540.78 and 100.55

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Solution

The fourth proportional to 360.53, 540.78 and 100.55 is: 150.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.53 : 540.78 = 100.55 : x
  2. Step 2: Convert to fraction form
    360.53/540.78 = 100.55/x
  3. Step 3: Cross multiply
    360.53x = 540.78 × 100.55
  4. Step 4: Simplify right side
    360.53x = 54,374.94
  5. Step 5: Solve for x
    x = 54,374.94/360.53
  6. Step 6: Final answer
    x = 150.82

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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.