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Finding the Fourth Proportional to 189.02, 259.60 and 167.16

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Solution

The fourth proportional to 189.02, 259.60 and 167.16 is: 229.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.02 : 259.60 = 167.16 : x
  2. Step 2: Convert to fraction form
    189.02/259.60 = 167.16/x
  3. Step 3: Cross multiply
    189.02x = 259.60 × 167.16
  4. Step 4: Simplify right side
    189.02x = 43,394.74
  5. Step 5: Solve for x
    x = 43,394.74/189.02
  6. Step 6: Final answer
    x = 229.58

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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.