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Finding the Fourth Proportional to 250.00, 374.88 and 76.64

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Solution

The fourth proportional to 250.00, 374.88 and 76.64 is: 114.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.00 : 374.88 = 76.64 : x
  2. Step 2: Convert to fraction form
    250.00/374.88 = 76.64/x
  3. Step 3: Cross multiply
    250.00x = 374.88 × 76.64
  4. Step 4: Simplify right side
    250.00x = 28,728.93
  5. Step 5: Solve for x
    x = 28,728.93/250.00
  6. Step 6: Final answer
    x = 114.92

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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.