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Finding the Fourth Proportional to 276.61, 381.70 and 160.21

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Solution

The fourth proportional to 276.61, 381.70 and 160.21 is: 221.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.61 : 381.70 = 160.21 : x
  2. Step 2: Convert to fraction form
    276.61/381.70 = 160.21/x
  3. Step 3: Cross multiply
    276.61x = 381.70 × 160.21
  4. Step 4: Simplify right side
    276.61x = 61,152.16
  5. Step 5: Solve for x
    x = 61,152.16/276.61
  6. Step 6: Final answer
    x = 221.08

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