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Finding the Fourth Proportional to 175.34, 242.00 and 105.44

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Solution

The fourth proportional to 175.34, 242.00 and 105.44 is: 145.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.34 : 242.00 = 105.44 : x
  2. Step 2: Convert to fraction form
    175.34/242.00 = 105.44/x
  3. Step 3: Cross multiply
    175.34x = 242.00 × 105.44
  4. Step 4: Simplify right side
    175.34x = 25,514.74
  5. Step 5: Solve for x
    x = 25,514.74/175.34
  6. Step 6: Final answer
    x = 145.52

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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.