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Finding the Fourth Proportional to 134.86, 202.38 and 70.78

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Solution

The fourth proportional to 134.86, 202.38 and 70.78 is: 106.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.86 : 202.38 = 70.78 : x
  2. Step 2: Convert to fraction form
    134.86/202.38 = 70.78/x
  3. Step 3: Cross multiply
    134.86x = 202.38 × 70.78
  4. Step 4: Simplify right side
    134.86x = 14,324.46
  5. Step 5: Solve for x
    x = 14,324.46/134.86
  6. Step 6: Final answer
    x = 106.22

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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.