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Finding the Fourth Proportional to 174, 259.92 and 143.22

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Solution

The fourth proportional to 174, 259.92 and 143.22 is: 213.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    174 : 259.92 = 143.22 : x
  2. Step 2: Convert to fraction form
    174/259.92 = 143.22/x
  3. Step 3: Cross multiply
    174x = 259.92 × 143.22
  4. Step 4: Simplify right side
    174x = 37,225.74
  5. Step 5: Solve for x
    x = 37,225.74/174
  6. Step 6: Final answer
    x = 213.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.