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Finding the Fourth Proportional to 253.70, 378.47 and 230.12

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Solution

The fourth proportional to 253.70, 378.47 and 230.12 is: 343.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.70 : 378.47 = 230.12 : x
  2. Step 2: Convert to fraction form
    253.70/378.47 = 230.12/x
  3. Step 3: Cross multiply
    253.70x = 378.47 × 230.12
  4. Step 4: Simplify right side
    253.70x = 87,090.47
  5. Step 5: Solve for x
    x = 87,090.47/253.70
  6. Step 6: Final answer
    x = 343.29

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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.