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Finding the Fourth Proportional to 464.39, 640.81 and 265.25

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Solution

The fourth proportional to 464.39, 640.81 and 265.25 is: 366.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.39 : 640.81 = 265.25 : x
  2. Step 2: Convert to fraction form
    464.39/640.81 = 265.25/x
  3. Step 3: Cross multiply
    464.39x = 640.81 × 265.25
  4. Step 4: Simplify right side
    464.39x = 169,974.85
  5. Step 5: Solve for x
    x = 169,974.85/464.39
  6. Step 6: Final answer
    x = 366.02

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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.