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Finding the Fourth Proportional to 159.01, 218.12 and 157.57

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Solution

The fourth proportional to 159.01, 218.12 and 157.57 is: 216.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.01 : 218.12 = 157.57 : x
  2. Step 2: Convert to fraction form
    159.01/218.12 = 157.57/x
  3. Step 3: Cross multiply
    159.01x = 218.12 × 157.57
  4. Step 4: Simplify right side
    159.01x = 34,369.17
  5. Step 5: Solve for x
    x = 34,369.17/159.01
  6. Step 6: Final answer
    x = 216.14

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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.