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Finding the Fourth Proportional to 186.35, 280.76 and 154.53

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Solution

The fourth proportional to 186.35, 280.76 and 154.53 is: 232.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.35 : 280.76 = 154.53 : x
  2. Step 2: Convert to fraction form
    186.35/280.76 = 154.53/x
  3. Step 3: Cross multiply
    186.35x = 280.76 × 154.53
  4. Step 4: Simplify right side
    186.35x = 43,385.07
  5. Step 5: Solve for x
    x = 43,385.07/186.35
  6. Step 6: Final answer
    x = 232.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.