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Finding the Fourth Proportional to 289.42, 434.04 and 84

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Solution

The fourth proportional to 289.42, 434.04 and 84 is: 125.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.42 : 434.04 = 84 : x
  2. Step 2: Convert to fraction form
    289.42/434.04 = 84/x
  3. Step 3: Cross multiply
    289.42x = 434.04 × 84
  4. Step 4: Simplify right side
    289.42x = 36,459.36
  5. Step 5: Solve for x
    x = 36,459.36/289.42
  6. Step 6: Final answer
    x = 125.97

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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.