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Finding the Fourth Proportional to 310.24, 463.24 and 251.80

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Solution

The fourth proportional to 310.24, 463.24 and 251.80 is: 375.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.24 : 463.24 = 251.80 : x
  2. Step 2: Convert to fraction form
    310.24/463.24 = 251.80/x
  3. Step 3: Cross multiply
    310.24x = 463.24 × 251.80
  4. Step 4: Simplify right side
    310.24x = 116,643.83
  5. Step 5: Solve for x
    x = 116,643.83/310.24
  6. Step 6: Final answer
    x = 375.98

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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.