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Finding the Fourth Proportional to 401.18, 548.50 and 386.06

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Solution

The fourth proportional to 401.18, 548.50 and 386.06 is: 527.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.18 : 548.50 = 386.06 : x
  2. Step 2: Convert to fraction form
    401.18/548.50 = 386.06/x
  3. Step 3: Cross multiply
    401.18x = 548.50 × 386.06
  4. Step 4: Simplify right side
    401.18x = 211,753.91
  5. Step 5: Solve for x
    x = 211,753.91/401.18
  6. Step 6: Final answer
    x = 527.83

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.