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Finding the Fourth Proportional to 215.29, 323.04 and 99.70

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Solution

The fourth proportional to 215.29, 323.04 and 99.70 is: 149.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.29 : 323.04 = 99.70 : x
  2. Step 2: Convert to fraction form
    215.29/323.04 = 99.70/x
  3. Step 3: Cross multiply
    215.29x = 323.04 × 99.70
  4. Step 4: Simplify right side
    215.29x = 32,207.09
  5. Step 5: Solve for x
    x = 32,207.09/215.29
  6. Step 6: Final answer
    x = 149.60

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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.