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Finding the Fourth Proportional to 464.43, 640.74 and 277.86

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Solution

The fourth proportional to 464.43, 640.74 and 277.86 is: 383.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.43 : 640.74 = 277.86 : x
  2. Step 2: Convert to fraction form
    464.43/640.74 = 277.86/x
  3. Step 3: Cross multiply
    464.43x = 640.74 × 277.86
  4. Step 4: Simplify right side
    464.43x = 178,036.02
  5. Step 5: Solve for x
    x = 178,036.02/464.43
  6. Step 6: Final answer
    x = 383.34

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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.