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Finding the Fourth Proportional to 258.47, 384.50 and 255.86

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Solution

The fourth proportional to 258.47, 384.50 and 255.86 is: 380.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.47 : 384.50 = 255.86 : x
  2. Step 2: Convert to fraction form
    258.47/384.50 = 255.86/x
  3. Step 3: Cross multiply
    258.47x = 384.50 × 255.86
  4. Step 4: Simplify right side
    258.47x = 98,376.89
  5. Step 5: Solve for x
    x = 98,376.89/258.47
  6. Step 6: Final answer
    x = 380.61

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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.