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Finding the Fourth Proportional to 175.86, 242.58 and 105.88

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Solution

The fourth proportional to 175.86, 242.58 and 105.88 is: 146.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.86 : 242.58 = 105.88 : x
  2. Step 2: Convert to fraction form
    175.86/242.58 = 105.88/x
  3. Step 3: Cross multiply
    175.86x = 242.58 × 105.88
  4. Step 4: Simplify right side
    175.86x = 25,684.37
  5. Step 5: Solve for x
    x = 25,684.37/175.86
  6. Step 6: Final answer
    x = 146.05

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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.