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Finding the Fourth Proportional to 157.64, 234.80 and 147.64

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Solution

The fourth proportional to 157.64, 234.80 and 147.64 is: 219.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.64 : 234.80 = 147.64 : x
  2. Step 2: Convert to fraction form
    157.64/234.80 = 147.64/x
  3. Step 3: Cross multiply
    157.64x = 234.80 × 147.64
  4. Step 4: Simplify right side
    157.64x = 34,665.87
  5. Step 5: Solve for x
    x = 34,665.87/157.64
  6. Step 6: Final answer
    x = 219.91

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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.