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Finding the Fourth Proportional to 349.35, 524.10 and 105.90

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Solution

The fourth proportional to 349.35, 524.10 and 105.90 is: 158.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.35 : 524.10 = 105.90 : x
  2. Step 2: Convert to fraction form
    349.35/524.10 = 105.90/x
  3. Step 3: Cross multiply
    349.35x = 524.10 × 105.90
  4. Step 4: Simplify right side
    349.35x = 55,499.83
  5. Step 5: Solve for x
    x = 55,499.83/349.35
  6. Step 6: Final answer
    x = 158.87

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