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Finding the Fourth Proportional to 330.61, 456.63 and 304.29

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Solution

The fourth proportional to 330.61, 456.63 and 304.29 is: 420.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.61 : 456.63 = 304.29 : x
  2. Step 2: Convert to fraction form
    330.61/456.63 = 304.29/x
  3. Step 3: Cross multiply
    330.61x = 456.63 × 304.29
  4. Step 4: Simplify right side
    330.61x = 138,947.94
  5. Step 5: Solve for x
    x = 138,947.94/330.61
  6. Step 6: Final answer
    x = 420.28

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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.