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Finding the Fourth Proportional to 189.04, 259.46 and 167.84

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Solution

The fourth proportional to 189.04, 259.46 and 167.84 is: 230.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.04 : 259.46 = 167.84 : x
  2. Step 2: Convert to fraction form
    189.04/259.46 = 167.84/x
  3. Step 3: Cross multiply
    189.04x = 259.46 × 167.84
  4. Step 4: Simplify right side
    189.04x = 43,547.77
  5. Step 5: Solve for x
    x = 43,547.77/189.04
  6. Step 6: Final answer
    x = 230.36

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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.