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Finding the Fourth Proportional to 310.20, 463.04 and 287.64

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Solution

The fourth proportional to 310.20, 463.04 and 287.64 is: 429.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.20 : 463.04 = 287.64 : x
  2. Step 2: Convert to fraction form
    310.20/463.04 = 287.64/x
  3. Step 3: Cross multiply
    310.20x = 463.04 × 287.64
  4. Step 4: Simplify right side
    310.20x = 133,188.83
  5. Step 5: Solve for x
    x = 133,188.83/310.20
  6. Step 6: Final answer
    x = 429.36

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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.