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Finding the Fourth Proportional to 278.11, 414.80 and 235.06

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Solution

The fourth proportional to 278.11, 414.80 and 235.06 is: 350.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.11 : 414.80 = 235.06 : x
  2. Step 2: Convert to fraction form
    278.11/414.80 = 235.06/x
  3. Step 3: Cross multiply
    278.11x = 414.80 × 235.06
  4. Step 4: Simplify right side
    278.11x = 97,502.89
  5. Step 5: Solve for x
    x = 97,502.89/278.11
  6. Step 6: Final answer
    x = 350.59

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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.