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Finding the Fourth Proportional to 135.64, 203.52 and 74.80

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Solution

The fourth proportional to 135.64, 203.52 and 74.80 is: 112.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.64 : 203.52 = 74.80 : x
  2. Step 2: Convert to fraction form
    135.64/203.52 = 74.80/x
  3. Step 3: Cross multiply
    135.64x = 203.52 × 74.80
  4. Step 4: Simplify right side
    135.64x = 15,223.30
  5. Step 5: Solve for x
    x = 15,223.30/135.64
  6. Step 6: Final answer
    x = 112.23

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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.