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Finding the Fourth Proportional to 202.42, 278.80 and 186.22

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Solution

The fourth proportional to 202.42, 278.80 and 186.22 is: 256.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.42 : 278.80 = 186.22 : x
  2. Step 2: Convert to fraction form
    202.42/278.80 = 186.22/x
  3. Step 3: Cross multiply
    202.42x = 278.80 × 186.22
  4. Step 4: Simplify right side
    202.42x = 51,918.14
  5. Step 5: Solve for x
    x = 51,918.14/202.42
  6. Step 6: Final answer
    x = 256.49

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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.