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Finding the Fourth Proportional to 310.24, 463.92 and 278

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Solution

The fourth proportional to 310.24, 463.92 and 278 is: 415.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.24 : 463.92 = 278 : x
  2. Step 2: Convert to fraction form
    310.24/463.92 = 278/x
  3. Step 3: Cross multiply
    310.24x = 463.92 × 278
  4. Step 4: Simplify right side
    310.24x = 128,969.76
  5. Step 5: Solve for x
    x = 128,969.76/310.24
  6. Step 6: Final answer
    x = 415.71

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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.