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Finding the Fourth Proportional to 296.42, 445.16 and 259.97

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Solution

The fourth proportional to 296.42, 445.16 and 259.97 is: 390.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.42 : 445.16 = 259.97 : x
  2. Step 2: Convert to fraction form
    296.42/445.16 = 259.97/x
  3. Step 3: Cross multiply
    296.42x = 445.16 × 259.97
  4. Step 4: Simplify right side
    296.42x = 115,726.67
  5. Step 5: Solve for x
    x = 115,726.67/296.42
  6. Step 6: Final answer
    x = 390.42

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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.