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Finding the Fourth Proportional to 296.78, 442.89 and 295.11

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Solution

The fourth proportional to 296.78, 442.89 and 295.11 is: 440.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.78 : 442.89 = 295.11 : x
  2. Step 2: Convert to fraction form
    296.78/442.89 = 295.11/x
  3. Step 3: Cross multiply
    296.78x = 442.89 × 295.11
  4. Step 4: Simplify right side
    296.78x = 130,701.27
  5. Step 5: Solve for x
    x = 130,701.27/296.78
  6. Step 6: Final answer
    x = 440.41

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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.