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Finding the Fourth Proportional to 152.76, 209.55 and 147.54

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Solution

The fourth proportional to 152.76, 209.55 and 147.54 is: 202.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.76 : 209.55 = 147.54 : x
  2. Step 2: Convert to fraction form
    152.76/209.55 = 147.54/x
  3. Step 3: Cross multiply
    152.76x = 209.55 × 147.54
  4. Step 4: Simplify right side
    152.76x = 30,917.01
  5. Step 5: Solve for x
    x = 30,917.01/152.76
  6. Step 6: Final answer
    x = 202.39

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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.