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Finding the Fourth Proportional to 473.86, 654.11 and 277.38

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Solution

The fourth proportional to 473.86, 654.11 and 277.38 is: 382.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.86 : 654.11 = 277.38 : x
  2. Step 2: Convert to fraction form
    473.86/654.11 = 277.38/x
  3. Step 3: Cross multiply
    473.86x = 654.11 × 277.38
  4. Step 4: Simplify right side
    473.86x = 181,437.03
  5. Step 5: Solve for x
    x = 181,437.03/473.86
  6. Step 6: Final answer
    x = 382.89

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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.