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Finding the Fourth Proportional to 230.70, 345.55 and 189.66

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Solution

The fourth proportional to 230.70, 345.55 and 189.66 is: 284.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.70 : 345.55 = 189.66 : x
  2. Step 2: Convert to fraction form
    230.70/345.55 = 189.66/x
  3. Step 3: Cross multiply
    230.70x = 345.55 × 189.66
  4. Step 4: Simplify right side
    230.70x = 65,537.01
  5. Step 5: Solve for x
    x = 65,537.01/230.70
  6. Step 6: Final answer
    x = 284.08

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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.