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Finding the Fourth Proportional to 259.22, 385.62 and 256.62

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Solution

The fourth proportional to 259.22, 385.62 and 256.62 is: 381.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.22 : 385.62 = 256.62 : x
  2. Step 2: Convert to fraction form
    259.22/385.62 = 256.62/x
  3. Step 3: Cross multiply
    259.22x = 385.62 × 256.62
  4. Step 4: Simplify right side
    259.22x = 98,957.80
  5. Step 5: Solve for x
    x = 98,957.80/259.22
  6. Step 6: Final answer
    x = 381.75

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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.