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Finding the Fourth Proportional to 310.68, 464.30 and 278.56

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Solution

The fourth proportional to 310.68, 464.30 and 278.56 is: 416.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.68 : 464.30 = 278.56 : x
  2. Step 2: Convert to fraction form
    310.68/464.30 = 278.56/x
  3. Step 3: Cross multiply
    310.68x = 464.30 × 278.56
  4. Step 4: Simplify right side
    310.68x = 129,332.85
  5. Step 5: Solve for x
    x = 129,332.85/310.68
  6. Step 6: Final answer
    x = 416.29

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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.