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Finding the Fourth Proportional to 188.51, 282.76 and 140.45

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Solution

The fourth proportional to 188.51, 282.76 and 140.45 is: 210.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.51 : 282.76 = 140.45 : x
  2. Step 2: Convert to fraction form
    188.51/282.76 = 140.45/x
  3. Step 3: Cross multiply
    188.51x = 282.76 × 140.45
  4. Step 4: Simplify right side
    188.51x = 39,711.53
  5. Step 5: Solve for x
    x = 39,711.53/188.51
  6. Step 6: Final answer
    x = 210.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.