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Finding the Fourth Proportional to 134.42, 201.65 and 88.16

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Solution

The fourth proportional to 134.42, 201.65 and 88.16 is: 132.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.42 : 201.65 = 88.16 : x
  2. Step 2: Convert to fraction form
    134.42/201.65 = 88.16/x
  3. Step 3: Cross multiply
    134.42x = 201.65 × 88.16
  4. Step 4: Simplify right side
    134.42x = 17,776.01
  5. Step 5: Solve for x
    x = 17,776.01/134.42
  6. Step 6: Final answer
    x = 132.25

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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.