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Finding the Fourth Proportional to 186.25, 279.16 and 64.48

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Solution

The fourth proportional to 186.25, 279.16 and 64.48 is: 96.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.25 : 279.16 = 64.48 : x
  2. Step 2: Convert to fraction form
    186.25/279.16 = 64.48/x
  3. Step 3: Cross multiply
    186.25x = 279.16 × 64.48
  4. Step 4: Simplify right side
    186.25x = 18,000.24
  5. Step 5: Solve for x
    x = 18,000.24/186.25
  6. Step 6: Final answer
    x = 96.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.