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Finding the Fourth Proportional to 156.10, 215.09 and 106.90

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Solution

The fourth proportional to 156.10, 215.09 and 106.90 is: 147.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.10 : 215.09 = 106.90 : x
  2. Step 2: Convert to fraction form
    156.10/215.09 = 106.90/x
  3. Step 3: Cross multiply
    156.10x = 215.09 × 106.90
  4. Step 4: Simplify right side
    156.10x = 22,993.12
  5. Step 5: Solve for x
    x = 22,993.12/156.10
  6. Step 6: Final answer
    x = 147.30

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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.