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Finding the Fourth Proportional to 374.44, 561.82 and 146.60

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Solution

The fourth proportional to 374.44, 561.82 and 146.60 is: 219.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.44 : 561.82 = 146.60 : x
  2. Step 2: Convert to fraction form
    374.44/561.82 = 146.60/x
  3. Step 3: Cross multiply
    374.44x = 561.82 × 146.60
  4. Step 4: Simplify right side
    374.44x = 82,362.81
  5. Step 5: Solve for x
    x = 82,362.81/374.44
  6. Step 6: Final answer
    x = 219.96

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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.