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Finding the Fourth Proportional to 159.30, 218.25 and 157.50

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Solution

The fourth proportional to 159.30, 218.25 and 157.50 is: 215.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.30 : 218.25 = 157.50 : x
  2. Step 2: Convert to fraction form
    159.30/218.25 = 157.50/x
  3. Step 3: Cross multiply
    159.30x = 218.25 × 157.50
  4. Step 4: Simplify right side
    159.30x = 34,374.38
  5. Step 5: Solve for x
    x = 34,374.38/159.30
  6. Step 6: Final answer
    x = 215.78

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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.