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Finding the Fourth Proportional to 103.70, 156.32 and 93.26

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Solution

The fourth proportional to 103.70, 156.32 and 93.26 is: 140.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.70 : 156.32 = 93.26 : x
  2. Step 2: Convert to fraction form
    103.70/156.32 = 93.26/x
  3. Step 3: Cross multiply
    103.70x = 156.32 × 93.26
  4. Step 4: Simplify right side
    103.70x = 14,578.40
  5. Step 5: Solve for x
    x = 14,578.40/103.70
  6. Step 6: Final answer
    x = 140.58

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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.