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Finding the Fourth Proportional to 230.04, 343.50 and 202.74

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Solution

The fourth proportional to 230.04, 343.50 and 202.74 is: 302.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.04 : 343.50 = 202.74 : x
  2. Step 2: Convert to fraction form
    230.04/343.50 = 202.74/x
  3. Step 3: Cross multiply
    230.04x = 343.50 × 202.74
  4. Step 4: Simplify right side
    230.04x = 69,641.19
  5. Step 5: Solve for x
    x = 69,641.19/230.04
  6. Step 6: Final answer
    x = 302.74

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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.