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Finding the Fourth Proportional to 464.14, 640.64 and 277.64

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Solution

The fourth proportional to 464.14, 640.64 and 277.64 is: 383.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.14 : 640.64 = 277.64 : x
  2. Step 2: Convert to fraction form
    464.14/640.64 = 277.64/x
  3. Step 3: Cross multiply
    464.14x = 640.64 × 277.64
  4. Step 4: Simplify right side
    464.14x = 177,867.29
  5. Step 5: Solve for x
    x = 177,867.29/464.14
  6. Step 6: Final answer
    x = 383.22

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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.