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Finding the Fourth Proportional to 243.42, 364.76 and 121.54

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Solution

The fourth proportional to 243.42, 364.76 and 121.54 is: 182.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.42 : 364.76 = 121.54 : x
  2. Step 2: Convert to fraction form
    243.42/364.76 = 121.54/x
  3. Step 3: Cross multiply
    243.42x = 364.76 × 121.54
  4. Step 4: Simplify right side
    243.42x = 44,332.93
  5. Step 5: Solve for x
    x = 44,332.93/243.42
  6. Step 6: Final answer
    x = 182.13

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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.