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Finding the Fourth Proportional to 310.14, 464.58 and 248.94

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Solution

The fourth proportional to 310.14, 464.58 and 248.94 is: 372.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.14 : 464.58 = 248.94 : x
  2. Step 2: Convert to fraction form
    310.14/464.58 = 248.94/x
  3. Step 3: Cross multiply
    310.14x = 464.58 × 248.94
  4. Step 4: Simplify right side
    310.14x = 115,652.55
  5. Step 5: Solve for x
    x = 115,652.55/310.14
  6. Step 6: Final answer
    x = 372.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.