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Finding the Fourth Proportional to 330, 456.60 and 283.32

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Solution

The fourth proportional to 330, 456.60 and 283.32 is: 392.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    330 : 456.60 = 283.32 : x
  2. Step 2: Convert to fraction form
    330/456.60 = 283.32/x
  3. Step 3: Cross multiply
    330x = 456.60 × 283.32
  4. Step 4: Simplify right side
    330x = 129,363.91
  5. Step 5: Solve for x
    x = 129,363.91/330
  6. Step 6: Final answer
    x = 392.01

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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.