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Finding the Fourth Proportional to 242.95, 363.74 and 218.35

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Solution

The fourth proportional to 242.95, 363.74 and 218.35 is: 326.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.95 : 363.74 = 218.35 : x
  2. Step 2: Convert to fraction form
    242.95/363.74 = 218.35/x
  3. Step 3: Cross multiply
    242.95x = 363.74 × 218.35
  4. Step 4: Simplify right side
    242.95x = 79,421.17
  5. Step 5: Solve for x
    x = 79,421.17/242.95
  6. Step 6: Final answer
    x = 326.90

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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.