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Finding the Fourth Proportional to 375.26, 561.66 and 238.40

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Solution

The fourth proportional to 375.26, 561.66 and 238.40 is: 356.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.26 : 561.66 = 238.40 : x
  2. Step 2: Convert to fraction form
    375.26/561.66 = 238.40/x
  3. Step 3: Cross multiply
    375.26x = 561.66 × 238.40
  4. Step 4: Simplify right side
    375.26x = 133,899.74
  5. Step 5: Solve for x
    x = 133,899.74/375.26
  6. Step 6: Final answer
    x = 356.82

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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.