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Finding the Fourth Proportional to 464.17, 640.72 and 277.72

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Solution

The fourth proportional to 464.17, 640.72 and 277.72 is: 383.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.17 : 640.72 = 277.72 : x
  2. Step 2: Convert to fraction form
    464.17/640.72 = 277.72/x
  3. Step 3: Cross multiply
    464.17x = 640.72 × 277.72
  4. Step 4: Simplify right side
    464.17x = 177,940.76
  5. Step 5: Solve for x
    x = 177,940.76/464.17
  6. Step 6: Final answer
    x = 383.35

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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.