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Finding the Fourth Proportional to 561.22, 841.86 and 171.24

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Solution

The fourth proportional to 561.22, 841.86 and 171.24 is: 256.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.22 : 841.86 = 171.24 : x
  2. Step 2: Convert to fraction form
    561.22/841.86 = 171.24/x
  3. Step 3: Cross multiply
    561.22x = 841.86 × 171.24
  4. Step 4: Simplify right side
    561.22x = 144,155.90
  5. Step 5: Solve for x
    x = 144,155.90/561.22
  6. Step 6: Final answer
    x = 256.86

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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.