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Finding the Fourth Proportional to 156.11, 233.78 and 101.70

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Solution

The fourth proportional to 156.11, 233.78 and 101.70 is: 152.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.11 : 233.78 = 101.70 : x
  2. Step 2: Convert to fraction form
    156.11/233.78 = 101.70/x
  3. Step 3: Cross multiply
    156.11x = 233.78 × 101.70
  4. Step 4: Simplify right side
    156.11x = 23,775.43
  5. Step 5: Solve for x
    x = 23,775.43/156.11
  6. Step 6: Final answer
    x = 152.30

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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.