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Finding the Fourth Proportional to 464.02, 640.30 and 277.52

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Solution

The fourth proportional to 464.02, 640.30 and 277.52 is: 382.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.02 : 640.30 = 277.52 : x
  2. Step 2: Convert to fraction form
    464.02/640.30 = 277.52/x
  3. Step 3: Cross multiply
    464.02x = 640.30 × 277.52
  4. Step 4: Simplify right side
    464.02x = 177,696.06
  5. Step 5: Solve for x
    x = 177,696.06/464.02
  6. Step 6: Final answer
    x = 382.95

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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.