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Finding the Fourth Proportional to 117.40, 161.15 and 106.98

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Solution

The fourth proportional to 117.40, 161.15 and 106.98 is: 146.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.40 : 161.15 = 106.98 : x
  2. Step 2: Convert to fraction form
    117.40/161.15 = 106.98/x
  3. Step 3: Cross multiply
    117.40x = 161.15 × 106.98
  4. Step 4: Simplify right side
    117.40x = 17,239.02
  5. Step 5: Solve for x
    x = 17,239.02/117.40
  6. Step 6: Final answer
    x = 146.84

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.