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Finding the Fourth Proportional to 238.05, 357.02 and 114.58

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Solution

The fourth proportional to 238.05, 357.02 and 114.58 is: 171.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.05 : 357.02 = 114.58 : x
  2. Step 2: Convert to fraction form
    238.05/357.02 = 114.58/x
  3. Step 3: Cross multiply
    238.05x = 357.02 × 114.58
  4. Step 4: Simplify right side
    238.05x = 40,905.89
  5. Step 5: Solve for x
    x = 40,905.89/238.05
  6. Step 6: Final answer
    x = 171.84

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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.