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Finding the Fourth Proportional to 156.02, 234.04 and 104.64

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Solution

The fourth proportional to 156.02, 234.04 and 104.64 is: 156.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.02 : 234.04 = 104.64 : x
  2. Step 2: Convert to fraction form
    156.02/234.04 = 104.64/x
  3. Step 3: Cross multiply
    156.02x = 234.04 × 104.64
  4. Step 4: Simplify right side
    156.02x = 24,489.95
  5. Step 5: Solve for x
    x = 24,489.95/156.02
  6. Step 6: Final answer
    x = 156.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.