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Finding the Fourth Proportional to 405.08, 557.79 and 395.96

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Solution

The fourth proportional to 405.08, 557.79 and 395.96 is: 545.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.08 : 557.79 = 395.96 : x
  2. Step 2: Convert to fraction form
    405.08/557.79 = 395.96/x
  3. Step 3: Cross multiply
    405.08x = 557.79 × 395.96
  4. Step 4: Simplify right side
    405.08x = 220,862.53
  5. Step 5: Solve for x
    x = 220,862.53/405.08
  6. Step 6: Final answer
    x = 545.23

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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.