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Finding the Fourth Proportional to 187.71, 282.88 and 161.01

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Solution

The fourth proportional to 187.71, 282.88 and 161.01 is: 242.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.71 : 282.88 = 161.01 : x
  2. Step 2: Convert to fraction form
    187.71/282.88 = 161.01/x
  3. Step 3: Cross multiply
    187.71x = 282.88 × 161.01
  4. Step 4: Simplify right side
    187.71x = 45,546.51
  5. Step 5: Solve for x
    x = 45,546.51/187.71
  6. Step 6: Final answer
    x = 242.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.