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Finding the Fourth Proportional to 282.75, 424.08 and 201.35

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Solution

The fourth proportional to 282.75, 424.08 and 201.35 is: 301.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.75 : 424.08 = 201.35 : x
  2. Step 2: Convert to fraction form
    282.75/424.08 = 201.35/x
  3. Step 3: Cross multiply
    282.75x = 424.08 × 201.35
  4. Step 4: Simplify right side
    282.75x = 85,386.39
  5. Step 5: Solve for x
    x = 85,386.39/282.75
  6. Step 6: Final answer
    x = 301.99

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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.