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Finding the Fourth Proportional to 561.02, 841.41 and 190.78

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Solution

The fourth proportional to 561.02, 841.41 and 190.78 is: 286.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.02 : 841.41 = 190.78 : x
  2. Step 2: Convert to fraction form
    561.02/841.41 = 190.78/x
  3. Step 3: Cross multiply
    561.02x = 841.41 × 190.78
  4. Step 4: Simplify right side
    561.02x = 160,522.10
  5. Step 5: Solve for x
    x = 160,522.10/561.02
  6. Step 6: Final answer
    x = 286.13

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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.