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Finding the Fourth Proportional to 310.42, 461.57 and 297.46

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Solution

The fourth proportional to 310.42, 461.57 and 297.46 is: 442.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.42 : 461.57 = 297.46 : x
  2. Step 2: Convert to fraction form
    310.42/461.57 = 297.46/x
  3. Step 3: Cross multiply
    310.42x = 461.57 × 297.46
  4. Step 4: Simplify right side
    310.42x = 137,298.61
  5. Step 5: Solve for x
    x = 137,298.61/310.42
  6. Step 6: Final answer
    x = 442.30

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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.