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Finding the Fourth Proportional to 161.34, 243.29 and 159.58

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Solution

The fourth proportional to 161.34, 243.29 and 159.58 is: 240.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.34 : 243.29 = 159.58 : x
  2. Step 2: Convert to fraction form
    161.34/243.29 = 159.58/x
  3. Step 3: Cross multiply
    161.34x = 243.29 × 159.58
  4. Step 4: Simplify right side
    161.34x = 38,824.22
  5. Step 5: Solve for x
    x = 38,824.22/161.34
  6. Step 6: Final answer
    x = 240.64

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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.