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Finding the Fourth Proportional to 134.70, 202.86 and 118.63

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Solution

The fourth proportional to 134.70, 202.86 and 118.63 is: 178.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.70 : 202.86 = 118.63 : x
  2. Step 2: Convert to fraction form
    134.70/202.86 = 118.63/x
  3. Step 3: Cross multiply
    134.70x = 202.86 × 118.63
  4. Step 4: Simplify right side
    134.70x = 24,063.67
  5. Step 5: Solve for x
    x = 24,063.67/134.70
  6. Step 6: Final answer
    x = 178.65

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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.