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Finding the Fourth Proportional to 286.95, 430.30 and 91.88

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Solution

The fourth proportional to 286.95, 430.30 and 91.88 is: 137.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.95 : 430.30 = 91.88 : x
  2. Step 2: Convert to fraction form
    286.95/430.30 = 91.88/x
  3. Step 3: Cross multiply
    286.95x = 430.30 × 91.88
  4. Step 4: Simplify right side
    286.95x = 39,535.96
  5. Step 5: Solve for x
    x = 39,535.96/286.95
  6. Step 6: Final answer
    x = 137.78

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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.