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Finding the Fourth Proportional to 229.73, 342.91 and 202.39

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Solution

The fourth proportional to 229.73, 342.91 and 202.39 is: 302.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.73 : 342.91 = 202.39 : x
  2. Step 2: Convert to fraction form
    229.73/342.91 = 202.39/x
  3. Step 3: Cross multiply
    229.73x = 342.91 × 202.39
  4. Step 4: Simplify right side
    229.73x = 69,401.55
  5. Step 5: Solve for x
    x = 69,401.55/229.73
  6. Step 6: Final answer
    x = 302.10

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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.