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Finding the Fourth Proportional to 113.64, 171.21 and 103.23

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Solution

The fourth proportional to 113.64, 171.21 and 103.23 is: 155.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.64 : 171.21 = 103.23 : x
  2. Step 2: Convert to fraction form
    113.64/171.21 = 103.23/x
  3. Step 3: Cross multiply
    113.64x = 171.21 × 103.23
  4. Step 4: Simplify right side
    113.64x = 17,674.01
  5. Step 5: Solve for x
    x = 17,674.01/113.64
  6. Step 6: Final answer
    x = 155.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.