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Finding the Fourth Proportional to 310.16, 463.04 and 287.60

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Solution

The fourth proportional to 310.16, 463.04 and 287.60 is: 429.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.16 : 463.04 = 287.60 : x
  2. Step 2: Convert to fraction form
    310.16/463.04 = 287.60/x
  3. Step 3: Cross multiply
    310.16x = 463.04 × 287.60
  4. Step 4: Simplify right side
    310.16x = 133,170.30
  5. Step 5: Solve for x
    x = 133,170.30/310.16
  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.