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Finding the Fourth Proportional to 252.24, 377.67 and 191.20

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Solution

The fourth proportional to 252.24, 377.67 and 191.20 is: 286.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.24 : 377.67 = 191.20 : x
  2. Step 2: Convert to fraction form
    252.24/377.67 = 191.20/x
  3. Step 3: Cross multiply
    252.24x = 377.67 × 191.20
  4. Step 4: Simplify right side
    252.24x = 72,210.50
  5. Step 5: Solve for x
    x = 72,210.50/252.24
  6. Step 6: Final answer
    x = 286.28

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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.