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Finding the Fourth Proportional to 541.45, 811.64 and 267.74

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Solution

The fourth proportional to 541.45, 811.64 and 267.74 is: 401.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.45 : 811.64 = 267.74 : x
  2. Step 2: Convert to fraction form
    541.45/811.64 = 267.74/x
  3. Step 3: Cross multiply
    541.45x = 811.64 × 267.74
  4. Step 4: Simplify right side
    541.45x = 217,307.15
  5. Step 5: Solve for x
    x = 217,307.15/541.45
  6. Step 6: Final answer
    x = 401.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.