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Finding the Fourth Proportional to 275.16, 410.28 and 267.60

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Solution

The fourth proportional to 275.16, 410.28 and 267.60 is: 399.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.16 : 410.28 = 267.60 : x
  2. Step 2: Convert to fraction form
    275.16/410.28 = 267.60/x
  3. Step 3: Cross multiply
    275.16x = 410.28 × 267.60
  4. Step 4: Simplify right side
    275.16x = 109,790.93
  5. Step 5: Solve for x
    x = 109,790.93/275.16
  6. Step 6: Final answer
    x = 399.01

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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.