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Finding the Fourth Proportional to 463.82, 640.05 and 267.35

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Solution

The fourth proportional to 463.82, 640.05 and 267.35 is: 368.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.82 : 640.05 = 267.35 : x
  2. Step 2: Convert to fraction form
    463.82/640.05 = 267.35/x
  3. Step 3: Cross multiply
    463.82x = 640.05 × 267.35
  4. Step 4: Simplify right side
    463.82x = 171,117.37
  5. Step 5: Solve for x
    x = 171,117.37/463.82
  6. Step 6: Final answer
    x = 368.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.