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Finding the Fourth Proportional to 159.90, 238.53 and 141.90

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Solution

The fourth proportional to 159.90, 238.53 and 141.90 is: 211.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.90 : 238.53 = 141.90 : x
  2. Step 2: Convert to fraction form
    159.90/238.53 = 141.90/x
  3. Step 3: Cross multiply
    159.90x = 238.53 × 141.90
  4. Step 4: Simplify right side
    159.90x = 33,847.41
  5. Step 5: Solve for x
    x = 33,847.41/159.90
  6. Step 6: Final answer
    x = 211.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.