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Finding the Fourth Proportional to 161.15, 240.59 and 138.31

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Solution

The fourth proportional to 161.15, 240.59 and 138.31 is: 206.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.15 : 240.59 = 138.31 : x
  2. Step 2: Convert to fraction form
    161.15/240.59 = 138.31/x
  3. Step 3: Cross multiply
    161.15x = 240.59 × 138.31
  4. Step 4: Simplify right side
    161.15x = 33,275.75
  5. Step 5: Solve for x
    x = 33,275.75/161.15
  6. Step 6: Final answer
    x = 206.50

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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.