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Finding the Fourth Proportional to 374.33, 561.50 and 100.42

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Solution

The fourth proportional to 374.33, 561.50 and 100.42 is: 150.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.33 : 561.50 = 100.42 : x
  2. Step 2: Convert to fraction form
    374.33/561.50 = 100.42/x
  3. Step 3: Cross multiply
    374.33x = 561.50 × 100.42
  4. Step 4: Simplify right side
    374.33x = 56,387.08
  5. Step 5: Solve for x
    x = 56,387.08/374.33
  6. Step 6: Final answer
    x = 150.63

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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.