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Finding the Fourth Proportional to 186.40, 278.40 and 160.80

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Solution

The fourth proportional to 186.40, 278.40 and 160.80 is: 240.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.40 : 278.40 = 160.80 : x
  2. Step 2: Convert to fraction form
    186.40/278.40 = 160.80/x
  3. Step 3: Cross multiply
    186.40x = 278.40 × 160.80
  4. Step 4: Simplify right side
    186.40x = 44,766.72
  5. Step 5: Solve for x
    x = 44,766.72/186.40
  6. Step 6: Final answer
    x = 240.16

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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.