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Finding the Fourth Proportional to 464.51, 640.85 and 277.89

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Solution

The fourth proportional to 464.51, 640.85 and 277.89 is: 383.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.51 : 640.85 = 277.89 : x
  2. Step 2: Convert to fraction form
    464.51/640.85 = 277.89/x
  3. Step 3: Cross multiply
    464.51x = 640.85 × 277.89
  4. Step 4: Simplify right side
    464.51x = 178,084.42
  5. Step 5: Solve for x
    x = 178,084.42/464.51
  6. Step 6: Final answer
    x = 383.39

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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.