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Finding the Fourth Proportional to 406.65, 561.96 and 308.25

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Solution

The fourth proportional to 406.65, 561.96 and 308.25 is: 425.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.65 : 561.96 = 308.25 : x
  2. Step 2: Convert to fraction form
    406.65/561.96 = 308.25/x
  3. Step 3: Cross multiply
    406.65x = 561.96 × 308.25
  4. Step 4: Simplify right side
    406.65x = 173,224.17
  5. Step 5: Solve for x
    x = 173,224.17/406.65
  6. Step 6: Final answer
    x = 425.98

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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.