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Finding the Fourth Proportional to 258.40, 386.88 and 161.76

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Solution

The fourth proportional to 258.40, 386.88 and 161.76 is: 242.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.40 : 386.88 = 161.76 : x
  2. Step 2: Convert to fraction form
    258.40/386.88 = 161.76/x
  3. Step 3: Cross multiply
    258.40x = 386.88 × 161.76
  4. Step 4: Simplify right side
    258.40x = 62,581.71
  5. Step 5: Solve for x
    x = 62,581.71/258.40
  6. Step 6: Final answer
    x = 242.19

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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.