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Finding the Fourth Proportional to 330.17, 493.41 and 289.16

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Solution

The fourth proportional to 330.17, 493.41 and 289.16 is: 432.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.17 : 493.41 = 289.16 : x
  2. Step 2: Convert to fraction form
    330.17/493.41 = 289.16/x
  3. Step 3: Cross multiply
    330.17x = 493.41 × 289.16
  4. Step 4: Simplify right side
    330.17x = 142,671.97
  5. Step 5: Solve for x
    x = 142,671.97/330.17
  6. Step 6: Final answer
    x = 432.12

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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.