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Finding the Fourth Proportional to 188.53, 259.81 and 138.71

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Solution

The fourth proportional to 188.53, 259.81 and 138.71 is: 191.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.53 : 259.81 = 138.71 : x
  2. Step 2: Convert to fraction form
    188.53/259.81 = 138.71/x
  3. Step 3: Cross multiply
    188.53x = 259.81 × 138.71
  4. Step 4: Simplify right side
    188.53x = 36,038.55
  5. Step 5: Solve for x
    x = 36,038.55/188.53
  6. Step 6: Final answer
    x = 191.16

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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.