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Finding the Fourth Proportional to 278.07, 414.78 and 237.03

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Solution

The fourth proportional to 278.07, 414.78 and 237.03 is: 353.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.07 : 414.78 = 237.03 : x
  2. Step 2: Convert to fraction form
    278.07/414.78 = 237.03/x
  3. Step 3: Cross multiply
    278.07x = 414.78 × 237.03
  4. Step 4: Simplify right side
    278.07x = 98,315.30
  5. Step 5: Solve for x
    x = 98,315.30/278.07
  6. Step 6: Final answer
    x = 353.56

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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.