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Finding the Fourth Proportional to 464.03, 640.35 and 277.48

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Solution

The fourth proportional to 464.03, 640.35 and 277.48 is: 382.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.03 : 640.35 = 277.48 : x
  2. Step 2: Convert to fraction form
    464.03/640.35 = 277.48/x
  3. Step 3: Cross multiply
    464.03x = 640.35 × 277.48
  4. Step 4: Simplify right side
    464.03x = 177,684.32
  5. Step 5: Solve for x
    x = 177,684.32/464.03
  6. Step 6: Final answer
    x = 382.92

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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.