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Finding the Fourth Proportional to 250.95, 374.78 and 202.28

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Solution

The fourth proportional to 250.95, 374.78 and 202.28 is: 302.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.95 : 374.78 = 202.28 : x
  2. Step 2: Convert to fraction form
    250.95/374.78 = 202.28/x
  3. Step 3: Cross multiply
    250.95x = 374.78 × 202.28
  4. Step 4: Simplify right side
    250.95x = 75,807.61
  5. Step 5: Solve for x
    x = 75,807.61/250.95
  6. Step 6: Final answer
    x = 302.08

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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.