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Finding the Fourth Proportional to 158.32, 238.38 and 134.24

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Solution

The fourth proportional to 158.32, 238.38 and 134.24 is: 202.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.32 : 238.38 = 134.24 : x
  2. Step 2: Convert to fraction form
    158.32/238.38 = 134.24/x
  3. Step 3: Cross multiply
    158.32x = 238.38 × 134.24
  4. Step 4: Simplify right side
    158.32x = 32,000.13
  5. Step 5: Solve for x
    x = 32,000.13/158.32
  6. Step 6: Final answer
    x = 202.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.