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Finding the Fourth Proportional to 296.93, 445.39 and 77.55

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Solution

The fourth proportional to 296.93, 445.39 and 77.55 is: 116.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.93 : 445.39 = 77.55 : x
  2. Step 2: Convert to fraction form
    296.93/445.39 = 77.55/x
  3. Step 3: Cross multiply
    296.93x = 445.39 × 77.55
  4. Step 4: Simplify right side
    296.93x = 34,539.87
  5. Step 5: Solve for x
    x = 34,539.87/296.93
  6. Step 6: Final answer
    x = 116.33

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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.