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Finding the Fourth Proportional to 296.04, 442.89 and 261.41

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Solution

The fourth proportional to 296.04, 442.89 and 261.41 is: 391.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.04 : 442.89 = 261.41 : x
  2. Step 2: Convert to fraction form
    296.04/442.89 = 261.41/x
  3. Step 3: Cross multiply
    296.04x = 442.89 × 261.41
  4. Step 4: Simplify right side
    296.04x = 115,773.66
  5. Step 5: Solve for x
    x = 115,773.66/296.04
  6. Step 6: Final answer
    x = 391.07

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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.