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Finding the Fourth Proportional to 406.61, 561.21 and 257.14

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Solution

The fourth proportional to 406.61, 561.21 and 257.14 is: 354.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.61 : 561.21 = 257.14 : x
  2. Step 2: Convert to fraction form
    406.61/561.21 = 257.14/x
  3. Step 3: Cross multiply
    406.61x = 561.21 × 257.14
  4. Step 4: Simplify right side
    406.61x = 144,310.24
  5. Step 5: Solve for x
    x = 144,310.24/406.61
  6. Step 6: Final answer
    x = 354.91

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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.