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Finding the Fourth Proportional to 341.60, 512.40 and 289.40

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Solution

The fourth proportional to 341.60, 512.40 and 289.40 is: 434.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.60 : 512.40 = 289.40 : x
  2. Step 2: Convert to fraction form
    341.60/512.40 = 289.40/x
  3. Step 3: Cross multiply
    341.60x = 512.40 × 289.40
  4. Step 4: Simplify right side
    341.60x = 148,288.56
  5. Step 5: Solve for x
    x = 148,288.56/341.60
  6. Step 6: Final answer
    x = 434.10

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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.