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Finding the Fourth Proportional to 406.93, 561.83 and 289.16

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Solution

The fourth proportional to 406.93, 561.83 and 289.16 is: 399.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.93 : 561.83 = 289.16 : x
  2. Step 2: Convert to fraction form
    406.93/561.83 = 289.16/x
  3. Step 3: Cross multiply
    406.93x = 561.83 × 289.16
  4. Step 4: Simplify right side
    406.93x = 162,457.32
  5. Step 5: Solve for x
    x = 162,457.32/406.93
  6. Step 6: Final answer
    x = 399.23

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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.