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Finding the Fourth Proportional to 215.79, 323.65 and 94.02

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Solution

The fourth proportional to 215.79, 323.65 and 94.02 is: 141.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.79 : 323.65 = 94.02 : x
  2. Step 2: Convert to fraction form
    215.79/323.65 = 94.02/x
  3. Step 3: Cross multiply
    215.79x = 323.65 × 94.02
  4. Step 4: Simplify right side
    215.79x = 30,429.57
  5. Step 5: Solve for x
    x = 30,429.57/215.79
  6. Step 6: Final answer
    x = 141.01

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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.