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Finding the Fourth Proportional to 330.13, 492.99 and 289.13

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Solution

The fourth proportional to 330.13, 492.99 and 289.13 is: 431.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.13 : 492.99 = 289.13 : x
  2. Step 2: Convert to fraction form
    330.13/492.99 = 289.13/x
  3. Step 3: Cross multiply
    330.13x = 492.99 × 289.13
  4. Step 4: Simplify right side
    330.13x = 142,536.28
  5. Step 5: Solve for x
    x = 142,536.28/330.13
  6. Step 6: Final answer
    x = 431.76

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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.