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Finding the Fourth Proportional to 152.24, 208.90 and 138.38

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Solution

The fourth proportional to 152.24, 208.90 and 138.38 is: 189.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.24 : 208.90 = 138.38 : x
  2. Step 2: Convert to fraction form
    152.24/208.90 = 138.38/x
  3. Step 3: Cross multiply
    152.24x = 208.90 × 138.38
  4. Step 4: Simplify right side
    152.24x = 28,907.58
  5. Step 5: Solve for x
    x = 28,907.58/152.24
  6. Step 6: Final answer
    x = 189.88

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.