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Finding the Fourth Proportional to 294.66, 439.40 and 274.14

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Solution

The fourth proportional to 294.66, 439.40 and 274.14 is: 408.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.66 : 439.40 = 274.14 : x
  2. Step 2: Convert to fraction form
    294.66/439.40 = 274.14/x
  3. Step 3: Cross multiply
    294.66x = 439.40 × 274.14
  4. Step 4: Simplify right side
    294.66x = 120,455.75
  5. Step 5: Solve for x
    x = 120,455.75/294.66
  6. Step 6: Final answer
    x = 408.80

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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.