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Finding the Fourth Proportional to 464.07, 640.40 and 257.07

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Solution

The fourth proportional to 464.07, 640.40 and 257.07 is: 354.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.07 : 640.40 = 257.07 : x
  2. Step 2: Convert to fraction form
    464.07/640.40 = 257.07/x
  3. Step 3: Cross multiply
    464.07x = 640.40 × 257.07
  4. Step 4: Simplify right side
    464.07x = 164,627.63
  5. Step 5: Solve for x
    x = 164,627.63/464.07
  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.