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Finding the Fourth Proportional to 405.26, 555.62 and 397.97

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Solution

The fourth proportional to 405.26, 555.62 and 397.97 is: 545.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.26 : 555.62 = 397.97 : x
  2. Step 2: Convert to fraction form
    405.26/555.62 = 397.97/x
  3. Step 3: Cross multiply
    405.26x = 555.62 × 397.97
  4. Step 4: Simplify right side
    405.26x = 221,115.32
  5. Step 5: Solve for x
    x = 221,115.32/405.26
  6. Step 6: Final answer
    x = 545.62

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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.