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Finding the Fourth Proportional to 252.10, 376.58 and 247.78

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Solution

The fourth proportional to 252.10, 376.58 and 247.78 is: 370.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.10 : 376.58 = 247.78 : x
  2. Step 2: Convert to fraction form
    252.10/376.58 = 247.78/x
  3. Step 3: Cross multiply
    252.10x = 376.58 × 247.78
  4. Step 4: Simplify right side
    252.10x = 93,308.99
  5. Step 5: Solve for x
    x = 93,308.99/252.10
  6. Step 6: Final answer
    x = 370.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.