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Finding the Fourth Proportional to 152.00, 209.10 and 137.28

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Solution

The fourth proportional to 152.00, 209.10 and 137.28 is: 188.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.00 : 209.10 = 137.28 : x
  2. Step 2: Convert to fraction form
    152.00/209.10 = 137.28/x
  3. Step 3: Cross multiply
    152.00x = 209.10 × 137.28
  4. Step 4: Simplify right side
    152.00x = 28,705.25
  5. Step 5: Solve for x
    x = 28,705.25/152.00
  6. Step 6: Final answer
    x = 188.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.