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Finding the Fourth Proportional to 242.91, 362.86 and 218.50

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Solution

The fourth proportional to 242.91, 362.86 and 218.50 is: 326.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.91 : 362.86 = 218.50 : x
  2. Step 2: Convert to fraction form
    242.91/362.86 = 218.50/x
  3. Step 3: Cross multiply
    242.91x = 362.86 × 218.50
  4. Step 4: Simplify right side
    242.91x = 79,283.10
  5. Step 5: Solve for x
    x = 79,283.10/242.91
  6. Step 6: Final answer
    x = 326.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.