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Finding the Fourth Proportional to 406.74, 561.81 and 354.18

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Solution

The fourth proportional to 406.74, 561.81 and 354.18 is: 489.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.74 : 561.81 = 354.18 : x
  2. Step 2: Convert to fraction form
    406.74/561.81 = 354.18/x
  3. Step 3: Cross multiply
    406.74x = 561.81 × 354.18
  4. Step 4: Simplify right side
    406.74x = 198,981.87
  5. Step 5: Solve for x
    x = 198,981.87/406.74
  6. Step 6: Final answer
    x = 489.21

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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.