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Finding the Fourth Proportional to 330.28, 491.88 and 310.28

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Solution

The fourth proportional to 330.28, 491.88 and 310.28 is: 462.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.28 : 491.88 = 310.28 : x
  2. Step 2: Convert to fraction form
    330.28/491.88 = 310.28/x
  3. Step 3: Cross multiply
    330.28x = 491.88 × 310.28
  4. Step 4: Simplify right side
    330.28x = 152,620.53
  5. Step 5: Solve for x
    x = 152,620.53/330.28
  6. Step 6: Final answer
    x = 462.09

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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.