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Finding the Fourth Proportional to 390.44, 535.96 and 346.70

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Solution

The fourth proportional to 390.44, 535.96 and 346.70 is: 475.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.44 : 535.96 = 346.70 : x
  2. Step 2: Convert to fraction form
    390.44/535.96 = 346.70/x
  3. Step 3: Cross multiply
    390.44x = 535.96 × 346.70
  4. Step 4: Simplify right side
    390.44x = 185,817.33
  5. Step 5: Solve for x
    x = 185,817.33/390.44
  6. Step 6: Final answer
    x = 475.92

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.