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Finding the Fourth Proportional to 294.66, 440.95 and 212.48

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Solution

The fourth proportional to 294.66, 440.95 and 212.48 is: 317.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.66 : 440.95 = 212.48 : x
  2. Step 2: Convert to fraction form
    294.66/440.95 = 212.48/x
  3. Step 3: Cross multiply
    294.66x = 440.95 × 212.48
  4. Step 4: Simplify right side
    294.66x = 93,693.06
  5. Step 5: Solve for x
    x = 93,693.06/294.66
  6. Step 6: Final answer
    x = 317.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.