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Finding the Fourth Proportional to 251.70, 345.14 and 243.02

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Solution

The fourth proportional to 251.70, 345.14 and 243.02 is: 333.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.70 : 345.14 = 243.02 : x
  2. Step 2: Convert to fraction form
    251.70/345.14 = 243.02/x
  3. Step 3: Cross multiply
    251.70x = 345.14 × 243.02
  4. Step 4: Simplify right side
    251.70x = 83,875.92
  5. Step 5: Solve for x
    x = 83,875.92/251.70
  6. Step 6: Final answer
    x = 333.24

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.