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Finding the Fourth Proportional to 259.15, 385.79 and 257.79

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Solution

The fourth proportional to 259.15, 385.79 and 257.79 is: 383.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.15 : 385.79 = 257.79 : x
  2. Step 2: Convert to fraction form
    259.15/385.79 = 257.79/x
  3. Step 3: Cross multiply
    259.15x = 385.79 × 257.79
  4. Step 4: Simplify right side
    259.15x = 99,452.80
  5. Step 5: Solve for x
    x = 99,452.80/259.15
  6. Step 6: Final answer
    x = 383.77

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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.