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Finding the Fourth Proportional to 310.27, 467.58 and 279.46

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Solution

The fourth proportional to 310.27, 467.58 and 279.46 is: 421.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.27 : 467.58 = 279.46 : x
  2. Step 2: Convert to fraction form
    310.27/467.58 = 279.46/x
  3. Step 3: Cross multiply
    310.27x = 467.58 × 279.46
  4. Step 4: Simplify right side
    310.27x = 130,667.89
  5. Step 5: Solve for x
    x = 130,667.89/310.27
  6. Step 6: Final answer
    x = 421.15

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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.