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Finding the Fourth Proportional to 162.76, 244.05 and 105.07

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Solution

The fourth proportional to 162.76, 244.05 and 105.07 is: 157.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.76 : 244.05 = 105.07 : x
  2. Step 2: Convert to fraction form
    162.76/244.05 = 105.07/x
  3. Step 3: Cross multiply
    162.76x = 244.05 × 105.07
  4. Step 4: Simplify right side
    162.76x = 25,642.33
  5. Step 5: Solve for x
    x = 25,642.33/162.76
  6. Step 6: Final answer
    x = 157.55

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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.