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Finding the Fourth Proportional to 296.51, 445.14 and 197.77

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Solution

The fourth proportional to 296.51, 445.14 and 197.77 is: 296.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.51 : 445.14 = 197.77 : x
  2. Step 2: Convert to fraction form
    296.51/445.14 = 197.77/x
  3. Step 3: Cross multiply
    296.51x = 445.14 × 197.77
  4. Step 4: Simplify right side
    296.51x = 88,032.12
  5. Step 5: Solve for x
    x = 88,032.12/296.51
  6. Step 6: Final answer
    x = 296.89

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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.