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Finding the Fourth Proportional to 186.93, 280.35 and 65.19

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Solution

The fourth proportional to 186.93, 280.35 and 65.19 is: 97.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.93 : 280.35 = 65.19 : x
  2. Step 2: Convert to fraction form
    186.93/280.35 = 65.19/x
  3. Step 3: Cross multiply
    186.93x = 280.35 × 65.19
  4. Step 4: Simplify right side
    186.93x = 18,276.02
  5. Step 5: Solve for x
    x = 18,276.02/186.93
  6. Step 6: Final answer
    x = 97.77

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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.