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Finding the Fourth Proportional to 374.39, 561.20 and 143.21

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Solution

The fourth proportional to 374.39, 561.20 and 143.21 is: 214.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.39 : 561.20 = 143.21 : x
  2. Step 2: Convert to fraction form
    374.39/561.20 = 143.21/x
  3. Step 3: Cross multiply
    374.39x = 561.20 × 143.21
  4. Step 4: Simplify right side
    374.39x = 80,370.67
  5. Step 5: Solve for x
    x = 80,370.67/374.39
  6. Step 6: Final answer
    x = 214.67

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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.