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Finding the Fourth Proportional to 292.92, 441.96 and 289.68

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Solution

The fourth proportional to 292.92, 441.96 and 289.68 is: 437.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.92 : 441.96 = 289.68 : x
  2. Step 2: Convert to fraction form
    292.92/441.96 = 289.68/x
  3. Step 3: Cross multiply
    292.92x = 441.96 × 289.68
  4. Step 4: Simplify right side
    292.92x = 128,026.97
  5. Step 5: Solve for x
    x = 128,026.97/292.92
  6. Step 6: Final answer
    x = 437.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.