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Finding the Fourth Proportional to 414.35, 551.45 and 414.35

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Solution

The fourth proportional to 414.35, 551.45 and 414.35 is: 551.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.35 : 551.45 = 414.35 : x
  2. Step 2: Convert to fraction form
    414.35/551.45 = 414.35/x
  3. Step 3: Cross multiply
    414.35x = 551.45 × 414.35
  4. Step 4: Simplify right side
    414.35x = 228,493.31
  5. Step 5: Solve for x
    x = 228,493.31/414.35
  6. Step 6: Final answer
    x = 551.45

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.