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Finding the Fourth Proportional to 250.50, 375.12 and 214.32

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Solution

The fourth proportional to 250.50, 375.12 and 214.32 is: 320.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.50 : 375.12 = 214.32 : x
  2. Step 2: Convert to fraction form
    250.50/375.12 = 214.32/x
  3. Step 3: Cross multiply
    250.50x = 375.12 × 214.32
  4. Step 4: Simplify right side
    250.50x = 80,395.72
  5. Step 5: Solve for x
    x = 80,395.72/250.50
  6. Step 6: Final answer
    x = 320.94

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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.