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Finding the Fourth Proportional to 464.47, 640.78 and 277.90

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Solution

The fourth proportional to 464.47, 640.78 and 277.90 is: 383.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.47 : 640.78 = 277.90 : x
  2. Step 2: Convert to fraction form
    464.47/640.78 = 277.90/x
  3. Step 3: Cross multiply
    464.47x = 640.78 × 277.90
  4. Step 4: Simplify right side
    464.47x = 178,072.76
  5. Step 5: Solve for x
    x = 178,072.76/464.47
  6. Step 6: Final answer
    x = 383.39

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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.