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Finding the Fourth Proportional to 157.71, 218.76 and 152.25

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Solution

The fourth proportional to 157.71, 218.76 and 152.25 is: 211.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.71 : 218.76 = 152.25 : x
  2. Step 2: Convert to fraction form
    157.71/218.76 = 152.25/x
  3. Step 3: Cross multiply
    157.71x = 218.76 × 152.25
  4. Step 4: Simplify right side
    157.71x = 33,306.21
  5. Step 5: Solve for x
    x = 33,306.21/157.71
  6. Step 6: Final answer
    x = 211.19

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.