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Finding the Fourth Proportional to 406.89, 561.35 and 257.46

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Solution

The fourth proportional to 406.89, 561.35 and 257.46 is: 355.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.89 : 561.35 = 257.46 : x
  2. Step 2: Convert to fraction form
    406.89/561.35 = 257.46/x
  3. Step 3: Cross multiply
    406.89x = 561.35 × 257.46
  4. Step 4: Simplify right side
    406.89x = 144,523.88
  5. Step 5: Solve for x
    x = 144,523.88/406.89
  6. Step 6: Final answer
    x = 355.19

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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.