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Finding the Fourth Proportional to 161.54, 240.65 and 153.80

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Solution

The fourth proportional to 161.54, 240.65 and 153.80 is: 229.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.54 : 240.65 = 153.80 : x
  2. Step 2: Convert to fraction form
    161.54/240.65 = 153.80/x
  3. Step 3: Cross multiply
    161.54x = 240.65 × 153.80
  4. Step 4: Simplify right side
    161.54x = 37,011.15
  5. Step 5: Solve for x
    x = 37,011.15/161.54
  6. Step 6: Final answer
    x = 229.12

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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.