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Finding the Fourth Proportional to 310.74, 462.43 and 300.61

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Solution

The fourth proportional to 310.74, 462.43 and 300.61 is: 447.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.74 : 462.43 = 300.61 : x
  2. Step 2: Convert to fraction form
    310.74/462.43 = 300.61/x
  3. Step 3: Cross multiply
    310.74x = 462.43 × 300.61
  4. Step 4: Simplify right side
    310.74x = 139,011.08
  5. Step 5: Solve for x
    x = 139,011.08/310.74
  6. Step 6: Final answer
    x = 447.35

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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.