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Finding the Fourth Proportional to 202.41, 278.74 and 185.10

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Solution

The fourth proportional to 202.41, 278.74 and 185.10 is: 254.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.41 : 278.74 = 185.10 : x
  2. Step 2: Convert to fraction form
    202.41/278.74 = 185.10/x
  3. Step 3: Cross multiply
    202.41x = 278.74 × 185.10
  4. Step 4: Simplify right side
    202.41x = 51,594.77
  5. Step 5: Solve for x
    x = 51,594.77/202.41
  6. Step 6: Final answer
    x = 254.90

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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.