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Finding the Fourth Proportional to 310.89, 426.30 and 302.79

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Solution

The fourth proportional to 310.89, 426.30 and 302.79 is: 415.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.89 : 426.30 = 302.79 : x
  2. Step 2: Convert to fraction form
    310.89/426.30 = 302.79/x
  3. Step 3: Cross multiply
    310.89x = 426.30 × 302.79
  4. Step 4: Simplify right side
    310.89x = 129,079.38
  5. Step 5: Solve for x
    x = 129,079.38/310.89
  6. Step 6: Final answer
    x = 415.19

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.