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Finding the Fourth Proportional to 257.69, 384.67 and 239.46

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Solution

The fourth proportional to 257.69, 384.67 and 239.46 is: 357.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.69 : 384.67 = 239.46 : x
  2. Step 2: Convert to fraction form
    257.69/384.67 = 239.46/x
  3. Step 3: Cross multiply
    257.69x = 384.67 × 239.46
  4. Step 4: Simplify right side
    257.69x = 92,113.08
  5. Step 5: Solve for x
    x = 92,113.08/257.69
  6. Step 6: Final answer
    x = 357.46

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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.