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Finding the Fourth Proportional to 238.90, 358.40 and 123.43

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Solution

The fourth proportional to 238.90, 358.40 and 123.43 is: 185.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.90 : 358.40 = 123.43 : x
  2. Step 2: Convert to fraction form
    238.90/358.40 = 123.43/x
  3. Step 3: Cross multiply
    238.90x = 358.40 × 123.43
  4. Step 4: Simplify right side
    238.90x = 44,237.31
  5. Step 5: Solve for x
    x = 44,237.31/238.90
  6. Step 6: Final answer
    x = 185.17

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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.