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Finding the Fourth Proportional to 159.24, 238.48 and 131.65

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Solution

The fourth proportional to 159.24, 238.48 and 131.65 is: 197.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.24 : 238.48 = 131.65 : x
  2. Step 2: Convert to fraction form
    159.24/238.48 = 131.65/x
  3. Step 3: Cross multiply
    159.24x = 238.48 × 131.65
  4. Step 4: Simplify right side
    159.24x = 31,394.81
  5. Step 5: Solve for x
    x = 31,394.81/159.24
  6. Step 6: Final answer
    x = 197.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.