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Finding the Fourth Proportional to 152.23, 209.84 and 133.78

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Solution

The fourth proportional to 152.23, 209.84 and 133.78 is: 184.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.23 : 209.84 = 133.78 : x
  2. Step 2: Convert to fraction form
    152.23/209.84 = 133.78/x
  3. Step 3: Cross multiply
    152.23x = 209.84 × 133.78
  4. Step 4: Simplify right side
    152.23x = 28,070.68
  5. Step 5: Solve for x
    x = 28,070.68/152.23
  6. Step 6: Final answer
    x = 184.40

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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.