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Finding the Fourth Proportional to 189.14, 260.96 and 152.34

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Solution

The fourth proportional to 189.14, 260.96 and 152.34 is: 210.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.14 : 260.96 = 152.34 : x
  2. Step 2: Convert to fraction form
    189.14/260.96 = 152.34/x
  3. Step 3: Cross multiply
    189.14x = 260.96 × 152.34
  4. Step 4: Simplify right side
    189.14x = 39,754.65
  5. Step 5: Solve for x
    x = 39,754.65/189.14
  6. Step 6: Final answer
    x = 210.19

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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.