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Finding the Fourth Proportional to 406.25, 561.28 and 288.66

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Solution

The fourth proportional to 406.25, 561.28 and 288.66 is: 398.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.25 : 561.28 = 288.66 : x
  2. Step 2: Convert to fraction form
    406.25/561.28 = 288.66/x
  3. Step 3: Cross multiply
    406.25x = 561.28 × 288.66
  4. Step 4: Simplify right side
    406.25x = 162,019.08
  5. Step 5: Solve for x
    x = 162,019.08/406.25
  6. Step 6: Final answer
    x = 398.82

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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.