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Finding the Fourth Proportional to 282.78, 390.63 and 218.10

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Solution

The fourth proportional to 282.78, 390.63 and 218.10 is: 301.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.78 : 390.63 = 218.10 : x
  2. Step 2: Convert to fraction form
    282.78/390.63 = 218.10/x
  3. Step 3: Cross multiply
    282.78x = 390.63 × 218.10
  4. Step 4: Simplify right side
    282.78x = 85,196.40
  5. Step 5: Solve for x
    x = 85,196.40/282.78
  6. Step 6: Final answer
    x = 301.28

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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.