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Finding the Fourth Proportional to 242.61, 332.62 and 238.23

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Solution

The fourth proportional to 242.61, 332.62 and 238.23 is: 326.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.61 : 332.62 = 238.23 : x
  2. Step 2: Convert to fraction form
    242.61/332.62 = 238.23/x
  3. Step 3: Cross multiply
    242.61x = 332.62 × 238.23
  4. Step 4: Simplify right side
    242.61x = 79,240.06
  5. Step 5: Solve for x
    x = 79,240.06/242.61
  6. Step 6: Final answer
    x = 326.61

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.