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Finding the Fourth Proportional to 561.04, 841.72 and 195.86

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Solution

The fourth proportional to 561.04, 841.72 and 195.86 is: 293.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.04 : 841.72 = 195.86 : x
  2. Step 2: Convert to fraction form
    561.04/841.72 = 195.86/x
  3. Step 3: Cross multiply
    561.04x = 841.72 × 195.86
  4. Step 4: Simplify right side
    561.04x = 164,859.28
  5. Step 5: Solve for x
    x = 164,859.28/561.04
  6. Step 6: Final answer
    x = 293.85

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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.