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Finding the Fourth Proportional to 135.11, 201.95 and 102.57

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Solution

The fourth proportional to 135.11, 201.95 and 102.57 is: 153.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.11 : 201.95 = 102.57 : x
  2. Step 2: Convert to fraction form
    135.11/201.95 = 102.57/x
  3. Step 3: Cross multiply
    135.11x = 201.95 × 102.57
  4. Step 4: Simplify right side
    135.11x = 20,714.27
  5. Step 5: Solve for x
    x = 20,714.27/135.11
  6. Step 6: Final answer
    x = 153.32

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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.