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Finding the Fourth Proportional to 255.86, 385.07 and 230.70

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Solution

The fourth proportional to 255.86, 385.07 and 230.70 is: 347.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.86 : 385.07 = 230.70 : x
  2. Step 2: Convert to fraction form
    255.86/385.07 = 230.70/x
  3. Step 3: Cross multiply
    255.86x = 385.07 × 230.70
  4. Step 4: Simplify right side
    255.86x = 88,836.23
  5. Step 5: Solve for x
    x = 88,836.23/255.86
  6. Step 6: Final answer
    x = 347.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.