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Finding the Fourth Proportional to 152.12, 226.64 and 135.95

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Solution

The fourth proportional to 152.12, 226.64 and 135.95 is: 202.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.12 : 226.64 = 135.95 : x
  2. Step 2: Convert to fraction form
    152.12/226.64 = 135.95/x
  3. Step 3: Cross multiply
    152.12x = 226.64 × 135.95
  4. Step 4: Simplify right side
    152.12x = 30,810.91
  5. Step 5: Solve for x
    x = 30,810.91/152.12
  6. Step 6: Final answer
    x = 202.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.