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Finding the Fourth Proportional to 464.13, 640.28 and 277.53

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Solution

The fourth proportional to 464.13, 640.28 and 277.53 is: 382.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.13 : 640.28 = 277.53 : x
  2. Step 2: Convert to fraction form
    464.13/640.28 = 277.53/x
  3. Step 3: Cross multiply
    464.13x = 640.28 × 277.53
  4. Step 4: Simplify right side
    464.13x = 177,693.01
  5. Step 5: Solve for x
    x = 177,693.01/464.13
  6. Step 6: Final answer
    x = 382.85

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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.