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Finding the Fourth Proportional to 194.32, 289.72 and 187.50

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Solution

The fourth proportional to 194.32, 289.72 and 187.50 is: 279.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.32 : 289.72 = 187.50 : x
  2. Step 2: Convert to fraction form
    194.32/289.72 = 187.50/x
  3. Step 3: Cross multiply
    194.32x = 289.72 × 187.50
  4. Step 4: Simplify right side
    194.32x = 54,322.50
  5. Step 5: Solve for x
    x = 54,322.50/194.32
  6. Step 6: Final answer
    x = 279.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.