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Finding the Fourth Proportional to 310.53, 463.67 and 302.33

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Solution

The fourth proportional to 310.53, 463.67 and 302.33 is: 451.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.53 : 463.67 = 302.33 : x
  2. Step 2: Convert to fraction form
    310.53/463.67 = 302.33/x
  3. Step 3: Cross multiply
    310.53x = 463.67 × 302.33
  4. Step 4: Simplify right side
    310.53x = 140,181.35
  5. Step 5: Solve for x
    x = 140,181.35/310.53
  6. Step 6: Final answer
    x = 451.43

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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.