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Finding the Fourth Proportional to 289.87, 434.75 and 84.38

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Solution

The fourth proportional to 289.87, 434.75 and 84.38 is: 126.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.87 : 434.75 = 84.38 : x
  2. Step 2: Convert to fraction form
    289.87/434.75 = 84.38/x
  3. Step 3: Cross multiply
    289.87x = 434.75 × 84.38
  4. Step 4: Simplify right side
    289.87x = 36,681.61
  5. Step 5: Solve for x
    x = 36,681.61/289.87
  6. Step 6: Final answer
    x = 126.55

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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.