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Finding the Fourth Proportional to 435.95, 653.79 and 189.14

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Solution

The fourth proportional to 435.95, 653.79 and 189.14 is: 283.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.95 : 653.79 = 189.14 : x
  2. Step 2: Convert to fraction form
    435.95/653.79 = 189.14/x
  3. Step 3: Cross multiply
    435.95x = 653.79 × 189.14
  4. Step 4: Simplify right side
    435.95x = 123,659.35
  5. Step 5: Solve for x
    x = 123,659.35/435.95
  6. Step 6: Final answer
    x = 283.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.