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Finding the Fourth Proportional to 374.02, 561.31 and 143.07

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Solution

The fourth proportional to 374.02, 561.31 and 143.07 is: 214.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.02 : 561.31 = 143.07 : x
  2. Step 2: Convert to fraction form
    374.02/561.31 = 143.07/x
  3. Step 3: Cross multiply
    374.02x = 561.31 × 143.07
  4. Step 4: Simplify right side
    374.02x = 80,306.62
  5. Step 5: Solve for x
    x = 80,306.62/374.02
  6. Step 6: Final answer
    x = 214.71

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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.