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Finding the Fourth Proportional to 374.62, 561.93 and 100.75

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Solution

The fourth proportional to 374.62, 561.93 and 100.75 is: 151.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.62 : 561.93 = 100.75 : x
  2. Step 2: Convert to fraction form
    374.62/561.93 = 100.75/x
  3. Step 3: Cross multiply
    374.62x = 561.93 × 100.75
  4. Step 4: Simplify right side
    374.62x = 56,614.45
  5. Step 5: Solve for x
    x = 56,614.45/374.62
  6. Step 6: Final answer
    x = 151.13

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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.