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Finding the Fourth Proportional to 464.06, 640.41 and 257.06

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Solution

The fourth proportional to 464.06, 640.41 and 257.06 is: 354.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.06 : 640.41 = 257.06 : x
  2. Step 2: Convert to fraction form
    464.06/640.41 = 257.06/x
  3. Step 3: Cross multiply
    464.06x = 640.41 × 257.06
  4. Step 4: Simplify right side
    464.06x = 164,624.43
  5. Step 5: Solve for x
    x = 164,624.43/464.06
  6. Step 6: Final answer
    x = 354.75

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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.