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Finding the Fourth Proportional to 282.78, 390.23 and 158.44

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Solution

The fourth proportional to 282.78, 390.23 and 158.44 is: 218.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.78 : 390.23 = 158.44 : x
  2. Step 2: Convert to fraction form
    282.78/390.23 = 158.44/x
  3. Step 3: Cross multiply
    282.78x = 390.23 × 158.44
  4. Step 4: Simplify right side
    282.78x = 61,827.60
  5. Step 5: Solve for x
    x = 61,827.60/282.78
  6. Step 6: Final answer
    x = 218.64

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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.