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Finding the Fourth Proportional to 330.69, 456.78 and 257.19

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Solution

The fourth proportional to 330.69, 456.78 and 257.19 is: 355.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.69 : 456.78 = 257.19 : x
  2. Step 2: Convert to fraction form
    330.69/456.78 = 257.19/x
  3. Step 3: Cross multiply
    330.69x = 456.78 × 257.19
  4. Step 4: Simplify right side
    330.69x = 117,479.25
  5. Step 5: Solve for x
    x = 117,479.25/330.69
  6. Step 6: Final answer
    x = 355.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.