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Finding the Fourth Proportional to 401.16, 550.54 and 390.83

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Solution

The fourth proportional to 401.16, 550.54 and 390.83 is: 536.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.16 : 550.54 = 390.83 : x
  2. Step 2: Convert to fraction form
    401.16/550.54 = 390.83/x
  3. Step 3: Cross multiply
    401.16x = 550.54 × 390.83
  4. Step 4: Simplify right side
    401.16x = 215,167.55
  5. Step 5: Solve for x
    x = 215,167.55/401.16
  6. Step 6: Final answer
    x = 536.36

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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.