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Finding the Fourth Proportional to 401.65, 551.16 and 397.09

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Solution

The fourth proportional to 401.65, 551.16 and 397.09 is: 544.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.65 : 551.16 = 397.09 : x
  2. Step 2: Convert to fraction form
    401.65/551.16 = 397.09/x
  3. Step 3: Cross multiply
    401.65x = 551.16 × 397.09
  4. Step 4: Simplify right side
    401.65x = 218,860.12
  5. Step 5: Solve for x
    x = 218,860.12/401.65
  6. Step 6: Final answer
    x = 544.90

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.