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Finding the Fourth Proportional to 398.90, 551.73 and 352.90

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Solution

The fourth proportional to 398.90, 551.73 and 352.90 is: 488.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.90 : 551.73 = 352.90 : x
  2. Step 2: Convert to fraction form
    398.90/551.73 = 352.90/x
  3. Step 3: Cross multiply
    398.90x = 551.73 × 352.90
  4. Step 4: Simplify right side
    398.90x = 194,705.52
  5. Step 5: Solve for x
    x = 194,705.52/398.90
  6. Step 6: Final answer
    x = 488.11

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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.