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Finding the Fourth Proportional to 186.74, 278.52 and 158.04

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Solution

The fourth proportional to 186.74, 278.52 and 158.04 is: 235.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.74 : 278.52 = 158.04 : x
  2. Step 2: Convert to fraction form
    186.74/278.52 = 158.04/x
  3. Step 3: Cross multiply
    186.74x = 278.52 × 158.04
  4. Step 4: Simplify right side
    186.74x = 44,017.30
  5. Step 5: Solve for x
    x = 44,017.30/186.74
  6. Step 6: Final answer
    x = 235.71

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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.