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Finding the Fourth Proportional to 230.02, 344.90 and 132.50

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Solution

The fourth proportional to 230.02, 344.90 and 132.50 is: 198.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.02 : 344.90 = 132.50 : x
  2. Step 2: Convert to fraction form
    230.02/344.90 = 132.50/x
  3. Step 3: Cross multiply
    230.02x = 344.90 × 132.50
  4. Step 4: Simplify right side
    230.02x = 45,699.25
  5. Step 5: Solve for x
    x = 45,699.25/230.02
  6. Step 6: Final answer
    x = 198.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.