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Finding the Fourth Proportional to 294.84, 440.55 and 217.26

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Solution

The fourth proportional to 294.84, 440.55 and 217.26 is: 324.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.84 : 440.55 = 217.26 : x
  2. Step 2: Convert to fraction form
    294.84/440.55 = 217.26/x
  3. Step 3: Cross multiply
    294.84x = 440.55 × 217.26
  4. Step 4: Simplify right side
    294.84x = 95,713.89
  5. Step 5: Solve for x
    x = 95,713.89/294.84
  6. Step 6: Final answer
    x = 324.63

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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.