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Finding the Fourth Proportional to 159.55, 237.54 and 157.28

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Solution

The fourth proportional to 159.55, 237.54 and 157.28 is: 234.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.55 : 237.54 = 157.28 : x
  2. Step 2: Convert to fraction form
    159.55/237.54 = 157.28/x
  3. Step 3: Cross multiply
    159.55x = 237.54 × 157.28
  4. Step 4: Simplify right side
    159.55x = 37,359.69
  5. Step 5: Solve for x
    x = 37,359.69/159.55
  6. Step 6: Final answer
    x = 234.16

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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.