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Finding the Fourth Proportional to 440.34, 608.18 and 292.71

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Solution

The fourth proportional to 440.34, 608.18 and 292.71 is: 404.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.34 : 608.18 = 292.71 : x
  2. Step 2: Convert to fraction form
    440.34/608.18 = 292.71/x
  3. Step 3: Cross multiply
    440.34x = 608.18 × 292.71
  4. Step 4: Simplify right side
    440.34x = 178,021.18
  5. Step 5: Solve for x
    x = 178,021.18/440.34
  6. Step 6: Final answer
    x = 404.28

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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.