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Finding the Fourth Proportional to 186.71, 278.41 and 174.15

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Solution

The fourth proportional to 186.71, 278.41 and 174.15 is: 259.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.71 : 278.41 = 174.15 : x
  2. Step 2: Convert to fraction form
    186.71/278.41 = 174.15/x
  3. Step 3: Cross multiply
    186.71x = 278.41 × 174.15
  4. Step 4: Simplify right side
    186.71x = 48,485.10
  5. Step 5: Solve for x
    x = 48,485.10/186.71
  6. Step 6: Final answer
    x = 259.68

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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.