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Finding the Fourth Proportional to 276.60, 381.71 and 152.26

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Solution

The fourth proportional to 276.60, 381.71 and 152.26 is: 210.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.60 : 381.71 = 152.26 : x
  2. Step 2: Convert to fraction form
    276.60/381.71 = 152.26/x
  3. Step 3: Cross multiply
    276.60x = 381.71 × 152.26
  4. Step 4: Simplify right side
    276.60x = 58,118.59
  5. Step 5: Solve for x
    x = 58,118.59/276.60
  6. Step 6: Final answer
    x = 210.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.