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Finding the Fourth Proportional to 278.29, 417.54 and 148.43

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Solution

The fourth proportional to 278.29, 417.54 and 148.43 is: 222.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.29 : 417.54 = 148.43 : x
  2. Step 2: Convert to fraction form
    278.29/417.54 = 148.43/x
  3. Step 3: Cross multiply
    278.29x = 417.54 × 148.43
  4. Step 4: Simplify right side
    278.29x = 61,977.06
  5. Step 5: Solve for x
    x = 61,977.06/278.29
  6. Step 6: Final answer
    x = 222.71

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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.