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Finding the Fourth Proportional to 330.10, 498.69 and 330.10

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Solution

The fourth proportional to 330.10, 498.69 and 330.10 is: 498.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.10 : 498.69 = 330.10 : x
  2. Step 2: Convert to fraction form
    330.10/498.69 = 330.10/x
  3. Step 3: Cross multiply
    330.10x = 498.69 × 330.10
  4. Step 4: Simplify right side
    330.10x = 164,617.57
  5. Step 5: Solve for x
    x = 164,617.57/330.10
  6. Step 6: Final answer
    x = 498.69

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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.