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Finding the Fourth Proportional to 310.52, 463.33 and 303.52

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Solution

The fourth proportional to 310.52, 463.33 and 303.52 is: 452.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.52 : 463.33 = 303.52 : x
  2. Step 2: Convert to fraction form
    310.52/463.33 = 303.52/x
  3. Step 3: Cross multiply
    310.52x = 463.33 × 303.52
  4. Step 4: Simplify right side
    310.52x = 140,629.92
  5. Step 5: Solve for x
    x = 140,629.92/310.52
  6. Step 6: Final answer
    x = 452.89

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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.