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Finding the Fourth Proportional to 304.61, 455.15 and 267.71

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Solution

The fourth proportional to 304.61, 455.15 and 267.71 is: 400.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.61 : 455.15 = 267.71 : x
  2. Step 2: Convert to fraction form
    304.61/455.15 = 267.71/x
  3. Step 3: Cross multiply
    304.61x = 455.15 × 267.71
  4. Step 4: Simplify right side
    304.61x = 121,846.60
  5. Step 5: Solve for x
    x = 121,846.60/304.61
  6. Step 6: Final answer
    x = 400.02

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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.