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Finding the Fourth Proportional to 276.94, 382.16 and 152.59

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Solution

The fourth proportional to 276.94, 382.16 and 152.59 is: 210.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.94 : 382.16 = 152.59 : x
  2. Step 2: Convert to fraction form
    276.94/382.16 = 152.59/x
  3. Step 3: Cross multiply
    276.94x = 382.16 × 152.59
  4. Step 4: Simplify right side
    276.94x = 58,313.79
  5. Step 5: Solve for x
    x = 58,313.79/276.94
  6. Step 6: Final answer
    x = 210.56

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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.