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Finding the Fourth Proportional to 242.85, 364.31 and 105.90

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Solution

The fourth proportional to 242.85, 364.31 and 105.90 is: 158.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.85 : 364.31 = 105.90 : x
  2. Step 2: Convert to fraction form
    242.85/364.31 = 105.90/x
  3. Step 3: Cross multiply
    242.85x = 364.31 × 105.90
  4. Step 4: Simplify right side
    242.85x = 38,580.43
  5. Step 5: Solve for x
    x = 38,580.43/242.85
  6. Step 6: Final answer
    x = 158.87

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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.