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Finding the Fourth Proportional to 282.36, 422.64 and 209.10

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Solution

The fourth proportional to 282.36, 422.64 and 209.10 is: 312.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.36 : 422.64 = 209.10 : x
  2. Step 2: Convert to fraction form
    282.36/422.64 = 209.10/x
  3. Step 3: Cross multiply
    282.36x = 422.64 × 209.10
  4. Step 4: Simplify right side
    282.36x = 88,374.02
  5. Step 5: Solve for x
    x = 88,374.02/282.36
  6. Step 6: Final answer
    x = 312.98

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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.