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Finding the Fourth Proportional to 152.24, 208.76 and 137.64

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Solution

The fourth proportional to 152.24, 208.76 and 137.64 is: 188.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.24 : 208.76 = 137.64 : x
  2. Step 2: Convert to fraction form
    152.24/208.76 = 137.64/x
  3. Step 3: Cross multiply
    152.24x = 208.76 × 137.64
  4. Step 4: Simplify right side
    152.24x = 28,733.73
  5. Step 5: Solve for x
    x = 28,733.73/152.24
  6. Step 6: Final answer
    x = 188.74

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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.