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Finding the Fourth Proportional to 231.69, 320.05 and 158.32

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Solution

The fourth proportional to 231.69, 320.05 and 158.32 is: 218.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.69 : 320.05 = 158.32 : x
  2. Step 2: Convert to fraction form
    231.69/320.05 = 158.32/x
  3. Step 3: Cross multiply
    231.69x = 320.05 × 158.32
  4. Step 4: Simplify right side
    231.69x = 50,670.91
  5. Step 5: Solve for x
    x = 50,670.91/231.69
  6. Step 6: Final answer
    x = 218.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.