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Finding the Fourth Proportional to 374.20, 561.24 and 157.66

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Solution

The fourth proportional to 374.20, 561.24 and 157.66 is: 236.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.20 : 561.24 = 157.66 : x
  2. Step 2: Convert to fraction form
    374.20/561.24 = 157.66/x
  3. Step 3: Cross multiply
    374.20x = 561.24 × 157.66
  4. Step 4: Simplify right side
    374.20x = 88,485.10
  5. Step 5: Solve for x
    x = 88,485.10/374.20
  6. Step 6: Final answer
    x = 236.46

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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.