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Finding the Fourth Proportional to 267.60, 399.27 and 228.65

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Solution

The fourth proportional to 267.60, 399.27 and 228.65 is: 341.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.60 : 399.27 = 228.65 : x
  2. Step 2: Convert to fraction form
    267.60/399.27 = 228.65/x
  3. Step 3: Cross multiply
    267.60x = 399.27 × 228.65
  4. Step 4: Simplify right side
    267.60x = 91,294.08
  5. Step 5: Solve for x
    x = 91,294.08/267.60
  6. Step 6: Final answer
    x = 341.16

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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.