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Finding the Fourth Proportional to 257.09, 384.75 and 154.22

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Solution

The fourth proportional to 257.09, 384.75 and 154.22 is: 230.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.09 : 384.75 = 154.22 : x
  2. Step 2: Convert to fraction form
    257.09/384.75 = 154.22/x
  3. Step 3: Cross multiply
    257.09x = 384.75 × 154.22
  4. Step 4: Simplify right side
    257.09x = 59,334.22
  5. Step 5: Solve for x
    x = 59,334.22/257.09
  6. Step 6: Final answer
    x = 230.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.