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Finding the Fourth Proportional to 282.42, 388.06 and 224.10

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Solution

The fourth proportional to 282.42, 388.06 and 224.10 is: 307.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.42 : 388.06 = 224.10 : x
  2. Step 2: Convert to fraction form
    282.42/388.06 = 224.10/x
  3. Step 3: Cross multiply
    282.42x = 388.06 × 224.10
  4. Step 4: Simplify right side
    282.42x = 86,963.69
  5. Step 5: Solve for x
    x = 86,963.69/282.42
  6. Step 6: Final answer
    x = 307.92

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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.