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Finding the Fourth Proportional to 156.74, 215.19 and 144.45

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Solution

The fourth proportional to 156.74, 215.19 and 144.45 is: 198.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.74 : 215.19 = 144.45 : x
  2. Step 2: Convert to fraction form
    156.74/215.19 = 144.45/x
  3. Step 3: Cross multiply
    156.74x = 215.19 × 144.45
  4. Step 4: Simplify right side
    156.74x = 31,084.20
  5. Step 5: Solve for x
    x = 31,084.20/156.74
  6. Step 6: Final answer
    x = 198.32

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.