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Finding the Fourth Proportional to 103.58, 156.25 and 100.34

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Solution

The fourth proportional to 103.58, 156.25 and 100.34 is: 151.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.58 : 156.25 = 100.34 : x
  2. Step 2: Convert to fraction form
    103.58/156.25 = 100.34/x
  3. Step 3: Cross multiply
    103.58x = 156.25 × 100.34
  4. Step 4: Simplify right side
    103.58x = 15,677.62
  5. Step 5: Solve for x
    x = 15,677.62/103.58
  6. Step 6: Final answer
    x = 151.36

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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.