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Finding the Fourth Proportional to 189.16, 260.91 and 115.35

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Solution

The fourth proportional to 189.16, 260.91 and 115.35 is: 159.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.16 : 260.91 = 115.35 : x
  2. Step 2: Convert to fraction form
    189.16/260.91 = 115.35/x
  3. Step 3: Cross multiply
    189.16x = 260.91 × 115.35
  4. Step 4: Simplify right side
    189.16x = 30,095.97
  5. Step 5: Solve for x
    x = 30,095.97/189.16
  6. Step 6: Final answer
    x = 159.10

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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.