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Finding the Fourth Proportional to 400.34, 551.36 and 345.05

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Solution

The fourth proportional to 400.34, 551.36 and 345.05 is: 475.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.34 : 551.36 = 345.05 : x
  2. Step 2: Convert to fraction form
    400.34/551.36 = 345.05/x
  3. Step 3: Cross multiply
    400.34x = 551.36 × 345.05
  4. Step 4: Simplify right side
    400.34x = 190,248.10
  5. Step 5: Solve for x
    x = 190,248.10/400.34
  6. Step 6: Final answer
    x = 475.22

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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.