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Finding the Fourth Proportional to 135.18, 202.78 and 53.98

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Solution

The fourth proportional to 135.18, 202.78 and 53.98 is: 80.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.18 : 202.78 = 53.98 : x
  2. Step 2: Convert to fraction form
    135.18/202.78 = 53.98/x
  3. Step 3: Cross multiply
    135.18x = 202.78 × 53.98
  4. Step 4: Simplify right side
    135.18x = 10,946.06
  5. Step 5: Solve for x
    x = 10,946.06/135.18
  6. Step 6: Final answer
    x = 80.97

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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.