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Finding the Fourth Proportional to 255.65, 381.18 and 251.60

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Solution

The fourth proportional to 255.65, 381.18 and 251.60 is: 375.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.65 : 381.18 = 251.60 : x
  2. Step 2: Convert to fraction form
    255.65/381.18 = 251.60/x
  3. Step 3: Cross multiply
    255.65x = 381.18 × 251.60
  4. Step 4: Simplify right side
    255.65x = 95,903.63
  5. Step 5: Solve for x
    x = 95,903.63/255.65
  6. Step 6: Final answer
    x = 375.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.