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Finding the Fourth Proportional to 275.40, 380.70 and 252.72

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Solution

The fourth proportional to 275.40, 380.70 and 252.72 is: 349.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.40 : 380.70 = 252.72 : x
  2. Step 2: Convert to fraction form
    275.40/380.70 = 252.72/x
  3. Step 3: Cross multiply
    275.40x = 380.70 × 252.72
  4. Step 4: Simplify right side
    275.40x = 96,210.50
  5. Step 5: Solve for x
    x = 96,210.50/275.40
  6. Step 6: Final answer
    x = 349.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.