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Finding the Fourth Proportional to 270.05, 403.10 and 251.06

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Solution

The fourth proportional to 270.05, 403.10 and 251.06 is: 374.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.05 : 403.10 = 251.06 : x
  2. Step 2: Convert to fraction form
    270.05/403.10 = 251.06/x
  3. Step 3: Cross multiply
    270.05x = 403.10 × 251.06
  4. Step 4: Simplify right side
    270.05x = 101,199.02
  5. Step 5: Solve for x
    x = 101,199.02/270.05
  6. Step 6: Final answer
    x = 374.75

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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.