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Finding the Fourth Proportional to 340.92, 512.08 and 289.64

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Solution

The fourth proportional to 340.92, 512.08 and 289.64 is: 435.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.92 : 512.08 = 289.64 : x
  2. Step 2: Convert to fraction form
    340.92/512.08 = 289.64/x
  3. Step 3: Cross multiply
    340.92x = 512.08 × 289.64
  4. Step 4: Simplify right side
    340.92x = 148,318.85
  5. Step 5: Solve for x
    x = 148,318.85/340.92
  6. Step 6: Final answer
    x = 435.05

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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.