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Finding the Fourth Proportional to 186.50, 278.40 and 160.92

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Solution

The fourth proportional to 186.50, 278.40 and 160.92 is: 240.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.50 : 278.40 = 160.92 : x
  2. Step 2: Convert to fraction form
    186.50/278.40 = 160.92/x
  3. Step 3: Cross multiply
    186.50x = 278.40 × 160.92
  4. Step 4: Simplify right side
    186.50x = 44,800.13
  5. Step 5: Solve for x
    x = 44,800.13/186.50
  6. Step 6: Final answer
    x = 240.22

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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.