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Finding the Fourth Proportional to 152.71, 208.92 and 152.11

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Solution

The fourth proportional to 152.71, 208.92 and 152.11 is: 208.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.71 : 208.92 = 152.11 : x
  2. Step 2: Convert to fraction form
    152.71/208.92 = 152.11/x
  3. Step 3: Cross multiply
    152.71x = 208.92 × 152.11
  4. Step 4: Simplify right side
    152.71x = 31,778.82
  5. Step 5: Solve for x
    x = 31,778.82/152.71
  6. Step 6: Final answer
    x = 208.10

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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.