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Finding the Fourth Proportional to 278.67, 418.16 and 148.74

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Solution

The fourth proportional to 278.67, 418.16 and 148.74 is: 223.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.67 : 418.16 = 148.74 : x
  2. Step 2: Convert to fraction form
    278.67/418.16 = 148.74/x
  3. Step 3: Cross multiply
    278.67x = 418.16 × 148.74
  4. Step 4: Simplify right side
    278.67x = 62,197.12
  5. Step 5: Solve for x
    x = 62,197.12/278.67
  6. Step 6: Final answer
    x = 223.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.