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Finding the Fourth Proportional to 288.46, 429.66 and 244.18

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Solution

The fourth proportional to 288.46, 429.66 and 244.18 is: 363.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.46 : 429.66 = 244.18 : x
  2. Step 2: Convert to fraction form
    288.46/429.66 = 244.18/x
  3. Step 3: Cross multiply
    288.46x = 429.66 × 244.18
  4. Step 4: Simplify right side
    288.46x = 104,914.38
  5. Step 5: Solve for x
    x = 104,914.38/288.46
  6. Step 6: Final answer
    x = 363.71

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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.