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Finding the Fourth Proportional to 330.78, 494.40 and 238.98

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Solution

The fourth proportional to 330.78, 494.40 and 238.98 is: 357.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.78 : 494.40 = 238.98 : x
  2. Step 2: Convert to fraction form
    330.78/494.40 = 238.98/x
  3. Step 3: Cross multiply
    330.78x = 494.40 × 238.98
  4. Step 4: Simplify right side
    330.78x = 118,151.71
  5. Step 5: Solve for x
    x = 118,151.71/330.78
  6. Step 6: Final answer
    x = 357.19

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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.