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Finding the Fourth Proportional to 230.14, 343.53 and 202.80

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Solution

The fourth proportional to 230.14, 343.53 and 202.80 is: 302.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.14 : 343.53 = 202.80 : x
  2. Step 2: Convert to fraction form
    230.14/343.53 = 202.80/x
  3. Step 3: Cross multiply
    230.14x = 343.53 × 202.80
  4. Step 4: Simplify right side
    230.14x = 69,667.86
  5. Step 5: Solve for x
    x = 69,667.86/230.14
  6. Step 6: Final answer
    x = 302.72

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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.