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Finding the Fourth Proportional to 135.84, 188.36 and 130.48

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Solution

The fourth proportional to 135.84, 188.36 and 130.48 is: 180.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.84 : 188.36 = 130.48 : x
  2. Step 2: Convert to fraction form
    135.84/188.36 = 130.48/x
  3. Step 3: Cross multiply
    135.84x = 188.36 × 130.48
  4. Step 4: Simplify right side
    135.84x = 24,577.21
  5. Step 5: Solve for x
    x = 24,577.21/135.84
  6. Step 6: Final answer
    x = 180.93

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.