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Finding the Fourth Proportional to 156.02, 215.07 and 106.75

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Solution

The fourth proportional to 156.02, 215.07 and 106.75 is: 147.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.02 : 215.07 = 106.75 : x
  2. Step 2: Convert to fraction form
    156.02/215.07 = 106.75/x
  3. Step 3: Cross multiply
    156.02x = 215.07 × 106.75
  4. Step 4: Simplify right side
    156.02x = 22,957.65
  5. Step 5: Solve for x
    x = 22,957.65/156.02
  6. Step 6: Final answer
    x = 147.15

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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.