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Finding the Fourth Proportional to 275.84, 415.78 and 252.75

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Solution

The fourth proportional to 275.84, 415.78 and 252.75 is: 380.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.84 : 415.78 = 252.75 : x
  2. Step 2: Convert to fraction form
    275.84/415.78 = 252.75/x
  3. Step 3: Cross multiply
    275.84x = 415.78 × 252.75
  4. Step 4: Simplify right side
    275.84x = 105,088.40
  5. Step 5: Solve for x
    x = 105,088.40/275.84
  6. Step 6: Final answer
    x = 380.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.