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Finding the Fourth Proportional to 330.66, 498.18 and 310.80

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Solution

The fourth proportional to 330.66, 498.18 and 310.80 is: 468.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.66 : 498.18 = 310.80 : x
  2. Step 2: Convert to fraction form
    330.66/498.18 = 310.80/x
  3. Step 3: Cross multiply
    330.66x = 498.18 × 310.80
  4. Step 4: Simplify right side
    330.66x = 154,834.34
  5. Step 5: Solve for x
    x = 154,834.34/330.66
  6. Step 6: Final answer
    x = 468.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.