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Finding the Fourth Proportional to 282.68, 390.11 and 158.33

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Solution

The fourth proportional to 282.68, 390.11 and 158.33 is: 218.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.68 : 390.11 = 158.33 : x
  2. Step 2: Convert to fraction form
    282.68/390.11 = 158.33/x
  3. Step 3: Cross multiply
    282.68x = 390.11 × 158.33
  4. Step 4: Simplify right side
    282.68x = 61,767.49
  5. Step 5: Solve for x
    x = 61,767.49/282.68
  6. Step 6: Final answer
    x = 218.51

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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.