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Finding the Fourth Proportional to 242.90, 364.49 and 160.44

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Solution

The fourth proportional to 242.90, 364.49 and 160.44 is: 240.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.90 : 364.49 = 160.44 : x
  2. Step 2: Convert to fraction form
    242.90/364.49 = 160.44/x
  3. Step 3: Cross multiply
    242.90x = 364.49 × 160.44
  4. Step 4: Simplify right side
    242.90x = 58,478.78
  5. Step 5: Solve for x
    x = 58,478.78/242.90
  6. Step 6: Final answer
    x = 240.75

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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.