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Finding the Fourth Proportional to 288.21, 430.24 and 267.71

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Solution

The fourth proportional to 288.21, 430.24 and 267.71 is: 399.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.21 : 430.24 = 267.71 : x
  2. Step 2: Convert to fraction form
    288.21/430.24 = 267.71/x
  3. Step 3: Cross multiply
    288.21x = 430.24 × 267.71
  4. Step 4: Simplify right side
    288.21x = 115,176.48
  5. Step 5: Solve for x
    x = 115,176.48/288.21
  6. Step 6: Final answer
    x = 399.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.