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Finding the Fourth Proportional to 400.62, 551.75 and 345.35

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Solution

The fourth proportional to 400.62, 551.75 and 345.35 is: 475.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.62 : 551.75 = 345.35 : x
  2. Step 2: Convert to fraction form
    400.62/551.75 = 345.35/x
  3. Step 3: Cross multiply
    400.62x = 551.75 × 345.35
  4. Step 4: Simplify right side
    400.62x = 190,542.38
  5. Step 5: Solve for x
    x = 190,542.38/400.62
  6. Step 6: Final answer
    x = 475.62

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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.