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Finding the Fourth Proportional to 117.86, 177.44 and 102.98

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Solution

The fourth proportional to 117.86, 177.44 and 102.98 is: 155.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.86 : 177.44 = 102.98 : x
  2. Step 2: Convert to fraction form
    117.86/177.44 = 102.98/x
  3. Step 3: Cross multiply
    117.86x = 177.44 × 102.98
  4. Step 4: Simplify right side
    117.86x = 18,272.77
  5. Step 5: Solve for x
    x = 18,272.77/117.86
  6. Step 6: Final answer
    x = 155.04

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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.