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Finding the Fourth Proportional to 250.64, 375.12 and 142.08

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Solution

The fourth proportional to 250.64, 375.12 and 142.08 is: 212.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.64 : 375.12 = 142.08 : x
  2. Step 2: Convert to fraction form
    250.64/375.12 = 142.08/x
  3. Step 3: Cross multiply
    250.64x = 375.12 × 142.08
  4. Step 4: Simplify right side
    250.64x = 53,297.05
  5. Step 5: Solve for x
    x = 53,297.05/250.64
  6. Step 6: Final answer
    x = 212.64

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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.