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Finding the Fourth Proportional to 183.82, 253.01 and 152.39

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Solution

The fourth proportional to 183.82, 253.01 and 152.39 is: 209.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.82 : 253.01 = 152.39 : x
  2. Step 2: Convert to fraction form
    183.82/253.01 = 152.39/x
  3. Step 3: Cross multiply
    183.82x = 253.01 × 152.39
  4. Step 4: Simplify right side
    183.82x = 38,554.93
  5. Step 5: Solve for x
    x = 38,554.93/183.82
  6. Step 6: Final answer
    x = 209.74

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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.