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Finding the Fourth Proportional to 215.85, 322.26 and 202.82

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Solution

The fourth proportional to 215.85, 322.26 and 202.82 is: 302.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.85 : 322.26 = 202.82 : x
  2. Step 2: Convert to fraction form
    215.85/322.26 = 202.82/x
  3. Step 3: Cross multiply
    215.85x = 322.26 × 202.82
  4. Step 4: Simplify right side
    215.85x = 65,358.40
  5. Step 5: Solve for x
    x = 65,358.40/215.85
  6. Step 6: Final answer
    x = 302.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.