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Finding the Fourth Proportional to 310.46, 428.15 and 278.06

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Solution

The fourth proportional to 310.46, 428.15 and 278.06 is: 383.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.46 : 428.15 = 278.06 : x
  2. Step 2: Convert to fraction form
    310.46/428.15 = 278.06/x
  3. Step 3: Cross multiply
    310.46x = 428.15 × 278.06
  4. Step 4: Simplify right side
    310.46x = 119,049.94
  5. Step 5: Solve for x
    x = 119,049.94/310.46
  6. Step 6: Final answer
    x = 383.47

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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.