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Finding the Fourth Proportional to 156.50, 215.96 and 104.11

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Solution

The fourth proportional to 156.50, 215.96 and 104.11 is: 143.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.50 : 215.96 = 104.11 : x
  2. Step 2: Convert to fraction form
    156.50/215.96 = 104.11/x
  3. Step 3: Cross multiply
    156.50x = 215.96 × 104.11
  4. Step 4: Simplify right side
    156.50x = 22,483.12
  5. Step 5: Solve for x
    x = 22,483.12/156.50
  6. Step 6: Final answer
    x = 143.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.