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Finding the Fourth Proportional to 257.78, 384.80 and 239.22

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Solution

The fourth proportional to 257.78, 384.80 and 239.22 is: 357.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.78 : 384.80 = 239.22 : x
  2. Step 2: Convert to fraction form
    257.78/384.80 = 239.22/x
  3. Step 3: Cross multiply
    257.78x = 384.80 × 239.22
  4. Step 4: Simplify right side
    257.78x = 92,051.86
  5. Step 5: Solve for x
    x = 92,051.86/257.78
  6. Step 6: Final answer
    x = 357.09

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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.