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Finding the Fourth Proportional to 135.18, 202.50 and 102.78

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Solution

The fourth proportional to 135.18, 202.50 and 102.78 is: 153.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.18 : 202.50 = 102.78 : x
  2. Step 2: Convert to fraction form
    135.18/202.50 = 102.78/x
  3. Step 3: Cross multiply
    135.18x = 202.50 × 102.78
  4. Step 4: Simplify right side
    135.18x = 20,812.95
  5. Step 5: Solve for x
    x = 20,812.95/135.18
  6. Step 6: Final answer
    x = 153.96

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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.