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Finding the Fourth Proportional to 202.68, 302.54 and 178.38

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Solution

The fourth proportional to 202.68, 302.54 and 178.38 is: 266.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.68 : 302.54 = 178.38 : x
  2. Step 2: Convert to fraction form
    202.68/302.54 = 178.38/x
  3. Step 3: Cross multiply
    202.68x = 302.54 × 178.38
  4. Step 4: Simplify right side
    202.68x = 53,967.09
  5. Step 5: Solve for x
    x = 53,967.09/202.68
  6. Step 6: Final answer
    x = 266.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.