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Finding the Fourth Proportional to 238.61, 357.68 and 117.05

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Solution

The fourth proportional to 238.61, 357.68 and 117.05 is: 175.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.61 : 357.68 = 117.05 : x
  2. Step 2: Convert to fraction form
    238.61/357.68 = 117.05/x
  3. Step 3: Cross multiply
    238.61x = 357.68 × 117.05
  4. Step 4: Simplify right side
    238.61x = 41,864.95
  5. Step 5: Solve for x
    x = 41,864.95/238.61
  6. Step 6: Final answer
    x = 175.45

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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.