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Finding the Fourth Proportional to 156.19, 215.44 and 123.43

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Solution

The fourth proportional to 156.19, 215.44 and 123.43 is: 170.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.19 : 215.44 = 123.43 : x
  2. Step 2: Convert to fraction form
    156.19/215.44 = 123.43/x
  3. Step 3: Cross multiply
    156.19x = 215.44 × 123.43
  4. Step 4: Simplify right side
    156.19x = 26,591.76
  5. Step 5: Solve for x
    x = 26,591.76/156.19
  6. Step 6: Final answer
    x = 170.25

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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.