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Finding the Fourth Proportional to 217.70, 324.72 and 202.58

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Solution

The fourth proportional to 217.70, 324.72 and 202.58 is: 302.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.70 : 324.72 = 202.58 : x
  2. Step 2: Convert to fraction form
    217.70/324.72 = 202.58/x
  3. Step 3: Cross multiply
    217.70x = 324.72 × 202.58
  4. Step 4: Simplify right side
    217.70x = 65,780.76
  5. Step 5: Solve for x
    x = 65,780.76/217.70
  6. Step 6: Final answer
    x = 302.16

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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.