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Finding the Fourth Proportional to 188.14, 259.89 and 147.21

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Solution

The fourth proportional to 188.14, 259.89 and 147.21 is: 203.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.14 : 259.89 = 147.21 : x
  2. Step 2: Convert to fraction form
    188.14/259.89 = 147.21/x
  3. Step 3: Cross multiply
    188.14x = 259.89 × 147.21
  4. Step 4: Simplify right side
    188.14x = 38,258.41
  5. Step 5: Solve for x
    x = 38,258.41/188.14
  6. Step 6: Final answer
    x = 203.35

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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.