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Finding the Fourth Proportional to 152.20, 209.52 and 133.72

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Solution

The fourth proportional to 152.20, 209.52 and 133.72 is: 184.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.20 : 209.52 = 133.72 : x
  2. Step 2: Convert to fraction form
    152.20/209.52 = 133.72/x
  3. Step 3: Cross multiply
    152.20x = 209.52 × 133.72
  4. Step 4: Simplify right side
    152.20x = 28,017.01
  5. Step 5: Solve for x
    x = 28,017.01/152.20
  6. Step 6: Final answer
    x = 184.08

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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.