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Finding the Fourth Proportional to 215.07, 296.77 and 141.25

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Solution

The fourth proportional to 215.07, 296.77 and 141.25 is: 194.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.07 : 296.77 = 141.25 : x
  2. Step 2: Convert to fraction form
    215.07/296.77 = 141.25/x
  3. Step 3: Cross multiply
    215.07x = 296.77 × 141.25
  4. Step 4: Simplify right side
    215.07x = 41,916.57
  5. Step 5: Solve for x
    x = 41,916.57/215.07
  6. Step 6: Final answer
    x = 194.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.