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Finding the Fourth Proportional to 176.15, 243.18 and 106.22

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Solution

The fourth proportional to 176.15, 243.18 and 106.22 is: 146.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.15 : 243.18 = 106.22 : x
  2. Step 2: Convert to fraction form
    176.15/243.18 = 106.22/x
  3. Step 3: Cross multiply
    176.15x = 243.18 × 106.22
  4. Step 4: Simplify right side
    176.15x = 25,831.59
  5. Step 5: Solve for x
    x = 25,831.59/176.15
  6. Step 6: Final answer
    x = 146.65

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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.