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Finding the Fourth Proportional to 282.96, 390.97 and 218.02

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Solution

The fourth proportional to 282.96, 390.97 and 218.02 is: 301.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.96 : 390.97 = 218.02 : x
  2. Step 2: Convert to fraction form
    282.96/390.97 = 218.02/x
  3. Step 3: Cross multiply
    282.96x = 390.97 × 218.02
  4. Step 4: Simplify right side
    282.96x = 85,239.28
  5. Step 5: Solve for x
    x = 85,239.28/282.96
  6. Step 6: Final answer
    x = 301.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.