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Finding the Fourth Proportional to 202, 278.90 and 158.26

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Solution

The fourth proportional to 202, 278.90 and 158.26 is: 218.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    202 : 278.90 = 158.26 : x
  2. Step 2: Convert to fraction form
    202/278.90 = 158.26/x
  3. Step 3: Cross multiply
    202x = 278.90 × 158.26
  4. Step 4: Simplify right side
    202x = 44,138.71
  5. Step 5: Solve for x
    x = 44,138.71/202
  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.