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Finding the Fourth Proportional to 156.66, 216.30 and 107.56

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Solution

The fourth proportional to 156.66, 216.30 and 107.56 is: 148.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.66 : 216.30 = 107.56 : x
  2. Step 2: Convert to fraction form
    156.66/216.30 = 107.56/x
  3. Step 3: Cross multiply
    156.66x = 216.30 × 107.56
  4. Step 4: Simplify right side
    156.66x = 23,265.23
  5. Step 5: Solve for x
    x = 23,265.23/156.66
  6. Step 6: Final answer
    x = 148.51

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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.