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Finding the Fourth Proportional to 560.97, 841.34 and 190.73

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Solution

The fourth proportional to 560.97, 841.34 and 190.73 is: 286.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.97 : 841.34 = 190.73 : x
  2. Step 2: Convert to fraction form
    560.97/841.34 = 190.73/x
  3. Step 3: Cross multiply
    560.97x = 841.34 × 190.73
  4. Step 4: Simplify right side
    560.97x = 160,463.62
  5. Step 5: Solve for x
    x = 160,463.62/560.97
  6. Step 6: Final answer
    x = 286.05

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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.