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Finding the Fourth Proportional to 186.68, 278.19 and 174.53

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Solution

The fourth proportional to 186.68, 278.19 and 174.53 is: 260.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.68 : 278.19 = 174.53 : x
  2. Step 2: Convert to fraction form
    186.68/278.19 = 174.53/x
  3. Step 3: Cross multiply
    186.68x = 278.19 × 174.53
  4. Step 4: Simplify right side
    186.68x = 48,551.63
  5. Step 5: Solve for x
    x = 48,551.63/186.68
  6. Step 6: Final answer
    x = 260.08

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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.