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Finding the Fourth Proportional to 294.07, 442.05 and 272.65

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Solution

The fourth proportional to 294.07, 442.05 and 272.65 is: 409.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.07 : 442.05 = 272.65 : x
  2. Step 2: Convert to fraction form
    294.07/442.05 = 272.65/x
  3. Step 3: Cross multiply
    294.07x = 442.05 × 272.65
  4. Step 4: Simplify right side
    294.07x = 120,524.93
  5. Step 5: Solve for x
    x = 120,524.93/294.07
  6. Step 6: Final answer
    x = 409.85

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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.