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Finding the Fourth Proportional to 464.15, 640.58 and 277.70

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Solution

The fourth proportional to 464.15, 640.58 and 277.70 is: 383.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.15 : 640.58 = 277.70 : x
  2. Step 2: Convert to fraction form
    464.15/640.58 = 277.70/x
  3. Step 3: Cross multiply
    464.15x = 640.58 × 277.70
  4. Step 4: Simplify right side
    464.15x = 177,884.47
  5. Step 5: Solve for x
    x = 177,884.47/464.15
  6. Step 6: Final answer
    x = 383.25

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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.