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Finding the Fourth Proportional to 473.78, 653.82 and 277.31

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Solution

The fourth proportional to 473.78, 653.82 and 277.31 is: 382.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.78 : 653.82 = 277.31 : x
  2. Step 2: Convert to fraction form
    473.78/653.82 = 277.31/x
  3. Step 3: Cross multiply
    473.78x = 653.82 × 277.31
  4. Step 4: Simplify right side
    473.78x = 181,310.82
  5. Step 5: Solve for x
    x = 181,310.82/473.78
  6. Step 6: Final answer
    x = 382.69

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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.