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Finding the Fourth Proportional to 310.18, 463.26 and 269.18

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Solution

The fourth proportional to 310.18, 463.26 and 269.18 is: 402.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.18 : 463.26 = 269.18 : x
  2. Step 2: Convert to fraction form
    310.18/463.26 = 269.18/x
  3. Step 3: Cross multiply
    310.18x = 463.26 × 269.18
  4. Step 4: Simplify right side
    310.18x = 124,700.33
  5. Step 5: Solve for x
    x = 124,700.33/310.18
  6. Step 6: Final answer
    x = 402.03

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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.