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Finding the Fourth Proportional to 159.42, 218.54 and 151.59

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Solution

The fourth proportional to 159.42, 218.54 and 151.59 is: 207.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.42 : 218.54 = 151.59 : x
  2. Step 2: Convert to fraction form
    159.42/218.54 = 151.59/x
  3. Step 3: Cross multiply
    159.42x = 218.54 × 151.59
  4. Step 4: Simplify right side
    159.42x = 33,128.48
  5. Step 5: Solve for x
    x = 33,128.48/159.42
  6. Step 6: Final answer
    x = 207.81

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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.