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Finding the Fourth Proportional to 330.56, 498.80 and 317.24

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Solution

The fourth proportional to 330.56, 498.80 and 317.24 is: 478.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.56 : 498.80 = 317.24 : x
  2. Step 2: Convert to fraction form
    330.56/498.80 = 317.24/x
  3. Step 3: Cross multiply
    330.56x = 498.80 × 317.24
  4. Step 4: Simplify right side
    330.56x = 158,239.31
  5. Step 5: Solve for x
    x = 158,239.31/330.56
  6. Step 6: Final answer
    x = 478.70

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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.