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Finding the Fourth Proportional to 223.58, 335.16 and 106.40

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Solution

The fourth proportional to 223.58, 335.16 and 106.40 is: 159.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.58 : 335.16 = 106.40 : x
  2. Step 2: Convert to fraction form
    223.58/335.16 = 106.40/x
  3. Step 3: Cross multiply
    223.58x = 335.16 × 106.40
  4. Step 4: Simplify right side
    223.58x = 35,661.02
  5. Step 5: Solve for x
    x = 35,661.02/223.58
  6. Step 6: Final answer
    x = 159.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.