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Finding the Fourth Proportional to 464.21, 640.58 and 277.65

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Solution

The fourth proportional to 464.21, 640.58 and 277.65 is: 383.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.21 : 640.58 = 277.65 : x
  2. Step 2: Convert to fraction form
    464.21/640.58 = 277.65/x
  3. Step 3: Cross multiply
    464.21x = 640.58 × 277.65
  4. Step 4: Simplify right side
    464.21x = 177,857.04
  5. Step 5: Solve for x
    x = 177,857.04/464.21
  6. Step 6: Final answer
    x = 383.14

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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.