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Finding the Fourth Proportional to 276.84, 417.29 and 253.75

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Solution

The fourth proportional to 276.84, 417.29 and 253.75 is: 382.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.84 : 417.29 = 253.75 : x
  2. Step 2: Convert to fraction form
    276.84/417.29 = 253.75/x
  3. Step 3: Cross multiply
    276.84x = 417.29 × 253.75
  4. Step 4: Simplify right side
    276.84x = 105,887.34
  5. Step 5: Solve for x
    x = 105,887.34/276.84
  6. Step 6: Final answer
    x = 382.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.