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Finding the Fourth Proportional to 400.35, 551.84 and 346.35

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Solution

The fourth proportional to 400.35, 551.84 and 346.35 is: 477.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.35 : 551.84 = 346.35 : x
  2. Step 2: Convert to fraction form
    400.35/551.84 = 346.35/x
  3. Step 3: Cross multiply
    400.35x = 551.84 × 346.35
  4. Step 4: Simplify right side
    400.35x = 191,128.05
  5. Step 5: Solve for x
    x = 191,128.05/400.35
  6. Step 6: Final answer
    x = 477.40

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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.