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Finding the Fourth Proportional to 189.32, 259.66 and 187.16

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Solution

The fourth proportional to 189.32, 259.66 and 187.16 is: 256.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.32 : 259.66 = 187.16 : x
  2. Step 2: Convert to fraction form
    189.32/259.66 = 187.16/x
  3. Step 3: Cross multiply
    189.32x = 259.66 × 187.16
  4. Step 4: Simplify right side
    189.32x = 48,597.97
  5. Step 5: Solve for x
    x = 48,597.97/189.32
  6. Step 6: Final answer
    x = 256.70

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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.