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Finding the Fourth Proportional to 401.48, 557.83 and 397.20

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Solution

The fourth proportional to 401.48, 557.83 and 397.20 is: 551.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.48 : 557.83 = 397.20 : x
  2. Step 2: Convert to fraction form
    401.48/557.83 = 397.20/x
  3. Step 3: Cross multiply
    401.48x = 557.83 × 397.20
  4. Step 4: Simplify right side
    401.48x = 221,570.08
  5. Step 5: Solve for x
    x = 221,570.08/401.48
  6. Step 6: Final answer
    x = 551.88

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.