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Finding the Fourth Proportional to 415.16, 575.66 and 401.31

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Solution

The fourth proportional to 415.16, 575.66 and 401.31 is: 556.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.16 : 575.66 = 401.31 : x
  2. Step 2: Convert to fraction form
    415.16/575.66 = 401.31/x
  3. Step 3: Cross multiply
    415.16x = 575.66 × 401.31
  4. Step 4: Simplify right side
    415.16x = 231,016.11
  5. Step 5: Solve for x
    x = 231,016.11/415.16
  6. Step 6: Final answer
    x = 556.46

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.