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Finding the Fourth Proportional to 294.66, 440.33 and 287.82

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Solution

The fourth proportional to 294.66, 440.33 and 287.82 is: 430.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.66 : 440.33 = 287.82 : x
  2. Step 2: Convert to fraction form
    294.66/440.33 = 287.82/x
  3. Step 3: Cross multiply
    294.66x = 440.33 × 287.82
  4. Step 4: Simplify right side
    294.66x = 126,734.34
  5. Step 5: Solve for x
    x = 126,734.34/294.66
  6. Step 6: Final answer
    x = 430.10

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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.