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Finding the Fourth Proportional to 215.05, 322.44 and 93.19

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Solution

The fourth proportional to 215.05, 322.44 and 93.19 is: 139.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.05 : 322.44 = 93.19 : x
  2. Step 2: Convert to fraction form
    215.05/322.44 = 93.19/x
  3. Step 3: Cross multiply
    215.05x = 322.44 × 93.19
  4. Step 4: Simplify right side
    215.05x = 30,048.18
  5. Step 5: Solve for x
    x = 30,048.18/215.05
  6. Step 6: Final answer
    x = 139.73

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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.