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Finding the Fourth Proportional to 156.21, 233.91 and 86.64

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Solution

The fourth proportional to 156.21, 233.91 and 86.64 is: 129.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.21 : 233.91 = 86.64 : x
  2. Step 2: Convert to fraction form
    156.21/233.91 = 86.64/x
  3. Step 3: Cross multiply
    156.21x = 233.91 × 86.64
  4. Step 4: Simplify right side
    156.21x = 20,265.96
  5. Step 5: Solve for x
    x = 20,265.96/156.21
  6. Step 6: Final answer
    x = 129.74

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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.