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Finding the Fourth Proportional to 416.72, 575.31 and 277.02

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Solution

The fourth proportional to 416.72, 575.31 and 277.02 is: 382.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.72 : 575.31 = 277.02 : x
  2. Step 2: Convert to fraction form
    416.72/575.31 = 277.02/x
  3. Step 3: Cross multiply
    416.72x = 575.31 × 277.02
  4. Step 4: Simplify right side
    416.72x = 159,372.38
  5. Step 5: Solve for x
    x = 159,372.38/416.72
  6. Step 6: Final answer
    x = 382.45

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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.