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Finding the Fourth Proportional to 152.08, 210.74 and 138.38

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Solution

The fourth proportional to 152.08, 210.74 and 138.38 is: 191.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.08 : 210.74 = 138.38 : x
  2. Step 2: Convert to fraction form
    152.08/210.74 = 138.38/x
  3. Step 3: Cross multiply
    152.08x = 210.74 × 138.38
  4. Step 4: Simplify right side
    152.08x = 29,160.46
  5. Step 5: Solve for x
    x = 29,160.46/152.08
  6. Step 6: Final answer
    x = 191.75

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.