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Finding the Fourth Proportional to 194.30, 289.93 and 177.05

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Solution

The fourth proportional to 194.30, 289.93 and 177.05 is: 264.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.30 : 289.93 = 177.05 : x
  2. Step 2: Convert to fraction form
    194.30/289.93 = 177.05/x
  3. Step 3: Cross multiply
    194.30x = 289.93 × 177.05
  4. Step 4: Simplify right side
    194.30x = 51,330.21
  5. Step 5: Solve for x
    x = 51,330.21/194.30
  6. Step 6: Final answer
    x = 264.19

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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.