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Finding the Fourth Proportional to 276.52, 414.40 and 148.36

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Solution

The fourth proportional to 276.52, 414.40 and 148.36 is: 222.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.52 : 414.40 = 148.36 : x
  2. Step 2: Convert to fraction form
    276.52/414.40 = 148.36/x
  3. Step 3: Cross multiply
    276.52x = 414.40 × 148.36
  4. Step 4: Simplify right side
    276.52x = 61,480.38
  5. Step 5: Solve for x
    x = 61,480.38/276.52
  6. Step 6: Final answer
    x = 222.34

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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.