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Finding the Fourth Proportional to 561.22, 841.85 and 171.22

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Solution

The fourth proportional to 561.22, 841.85 and 171.22 is: 256.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.22 : 841.85 = 171.22 : x
  2. Step 2: Convert to fraction form
    561.22/841.85 = 171.22/x
  3. Step 3: Cross multiply
    561.22x = 841.85 × 171.22
  4. Step 4: Simplify right side
    561.22x = 144,141.56
  5. Step 5: Solve for x
    x = 144,141.56/561.22
  6. Step 6: Final answer
    x = 256.84

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Similar ratio
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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.