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Finding the Fourth Proportional to 551.05, 825.50 and 242.17

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Solution

The fourth proportional to 551.05, 825.50 and 242.17 is: 362.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.05 : 825.50 = 242.17 : x
  2. Step 2: Convert to fraction form
    551.05/825.50 = 242.17/x
  3. Step 3: Cross multiply
    551.05x = 825.50 × 242.17
  4. Step 4: Simplify right side
    551.05x = 199,913.10
  5. Step 5: Solve for x
    x = 199,913.10/551.05
  6. Step 6: Final answer
    x = 362.78

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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.