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Finding the Fourth Proportional to 464.05, 640.40 and 277.48

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Solution

The fourth proportional to 464.05, 640.40 and 277.48 is: 382.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.05 : 640.40 = 277.48 : x
  2. Step 2: Convert to fraction form
    464.05/640.40 = 277.48/x
  3. Step 3: Cross multiply
    464.05x = 640.40 × 277.48
  4. Step 4: Simplify right side
    464.05x = 177,698.19
  5. Step 5: Solve for x
    x = 177,698.19/464.05
  6. Step 6: Final answer
    x = 382.93

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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.