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Finding the Fourth Proportional to 204.68, 282.50 and 131.01

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Solution

The fourth proportional to 204.68, 282.50 and 131.01 is: 180.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.68 : 282.50 = 131.01 : x
  2. Step 2: Convert to fraction form
    204.68/282.50 = 131.01/x
  3. Step 3: Cross multiply
    204.68x = 282.50 × 131.01
  4. Step 4: Simplify right side
    204.68x = 37,009.67
  5. Step 5: Solve for x
    x = 37,009.67/204.68
  6. Step 6: Final answer
    x = 180.82

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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.