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Finding the Fourth Proportional to 159.48, 218.52 and 157.32

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Solution

The fourth proportional to 159.48, 218.52 and 157.32 is: 215.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.48 : 218.52 = 157.32 : x
  2. Step 2: Convert to fraction form
    159.48/218.52 = 157.32/x
  3. Step 3: Cross multiply
    159.48x = 218.52 × 157.32
  4. Step 4: Simplify right side
    159.48x = 34,377.57
  5. Step 5: Solve for x
    x = 34,377.57/159.48
  6. Step 6: Final answer
    x = 215.56

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.