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Finding the Fourth Proportional to 333.78, 498.18 and 328.38

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Solution

The fourth proportional to 333.78, 498.18 and 328.38 is: 490.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.78 : 498.18 = 328.38 : x
  2. Step 2: Convert to fraction form
    333.78/498.18 = 328.38/x
  3. Step 3: Cross multiply
    333.78x = 498.18 × 328.38
  4. Step 4: Simplify right side
    333.78x = 163,592.35
  5. Step 5: Solve for x
    x = 163,592.35/333.78
  6. Step 6: Final answer
    x = 490.12

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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.