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Finding the Fourth Proportional to 231.01, 345.66 and 128.39

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Solution

The fourth proportional to 231.01, 345.66 and 128.39 is: 192.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.01 : 345.66 = 128.39 : x
  2. Step 2: Convert to fraction form
    231.01/345.66 = 128.39/x
  3. Step 3: Cross multiply
    231.01x = 345.66 × 128.39
  4. Step 4: Simplify right side
    231.01x = 44,379.29
  5. Step 5: Solve for x
    x = 44,379.29/231.01
  6. Step 6: Final answer
    x = 192.11

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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.