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Finding the Fourth Proportional to 159.34, 218.70 and 152.66

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Solution

The fourth proportional to 159.34, 218.70 and 152.66 is: 209.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.34 : 218.70 = 152.66 : x
  2. Step 2: Convert to fraction form
    159.34/218.70 = 152.66/x
  3. Step 3: Cross multiply
    159.34x = 218.70 × 152.66
  4. Step 4: Simplify right side
    159.34x = 33,386.74
  5. Step 5: Solve for x
    x = 33,386.74/159.34
  6. Step 6: Final answer
    x = 209.53

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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.