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Finding the Fourth Proportional to 157.20, 236.13 and 96.36

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Solution

The fourth proportional to 157.20, 236.13 and 96.36 is: 144.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.20 : 236.13 = 96.36 : x
  2. Step 2: Convert to fraction form
    157.20/236.13 = 96.36/x
  3. Step 3: Cross multiply
    157.20x = 236.13 × 96.36
  4. Step 4: Simplify right side
    157.20x = 22,753.49
  5. Step 5: Solve for x
    x = 22,753.49/157.20
  6. Step 6: Final answer
    x = 144.74

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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.