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Finding the Fourth Proportional to 278.41, 419.64 and 266.06

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Solution

The fourth proportional to 278.41, 419.64 and 266.06 is: 401.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.41 : 419.64 = 266.06 : x
  2. Step 2: Convert to fraction form
    278.41/419.64 = 266.06/x
  3. Step 3: Cross multiply
    278.41x = 419.64 × 266.06
  4. Step 4: Simplify right side
    278.41x = 111,649.42
  5. Step 5: Solve for x
    x = 111,649.42/278.41
  6. Step 6: Final answer
    x = 401.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.