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Finding the Fourth Proportional to 310.82, 463.95 and 288.29

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Solution

The fourth proportional to 310.82, 463.95 and 288.29 is: 430.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.82 : 463.95 = 288.29 : x
  2. Step 2: Convert to fraction form
    310.82/463.95 = 288.29/x
  3. Step 3: Cross multiply
    310.82x = 463.95 × 288.29
  4. Step 4: Simplify right side
    310.82x = 133,753.31
  5. Step 5: Solve for x
    x = 133,753.31/310.82
  6. Step 6: Final answer
    x = 430.33

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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.