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Finding the Fourth Proportional to 159.64, 240.67 and 158.26

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Solution

The fourth proportional to 159.64, 240.67 and 158.26 is: 238.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.64 : 240.67 = 158.26 : x
  2. Step 2: Convert to fraction form
    159.64/240.67 = 158.26/x
  3. Step 3: Cross multiply
    159.64x = 240.67 × 158.26
  4. Step 4: Simplify right side
    159.64x = 38,088.43
  5. Step 5: Solve for x
    x = 38,088.43/159.64
  6. Step 6: Final answer
    x = 238.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.