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Finding the Fourth Proportional to 288.55, 397.06 and 276.27

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Solution

The fourth proportional to 288.55, 397.06 and 276.27 is: 380.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.55 : 397.06 = 276.27 : x
  2. Step 2: Convert to fraction form
    288.55/397.06 = 276.27/x
  3. Step 3: Cross multiply
    288.55x = 397.06 × 276.27
  4. Step 4: Simplify right side
    288.55x = 109,695.77
  5. Step 5: Solve for x
    x = 109,695.77/288.55
  6. Step 6: Final answer
    x = 380.16

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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.