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Finding the Fourth Proportional to 397.90, 597.84 and 346.96

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Solution

The fourth proportional to 397.90, 597.84 and 346.96 is: 521.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.90 : 597.84 = 346.96 : x
  2. Step 2: Convert to fraction form
    397.90/597.84 = 346.96/x
  3. Step 3: Cross multiply
    397.90x = 597.84 × 346.96
  4. Step 4: Simplify right side
    397.90x = 207,426.57
  5. Step 5: Solve for x
    x = 207,426.57/397.90
  6. Step 6: Final answer
    x = 521.30

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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.