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Finding the Fourth Proportional to 397.15, 592.46 and 351.59

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Solution

The fourth proportional to 397.15, 592.46 and 351.59 is: 524.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.15 : 592.46 = 351.59 : x
  2. Step 2: Convert to fraction form
    397.15/592.46 = 351.59/x
  3. Step 3: Cross multiply
    397.15x = 592.46 × 351.59
  4. Step 4: Simplify right side
    397.15x = 208,304.92
  5. Step 5: Solve for x
    x = 208,304.92/397.15
  6. Step 6: Final answer
    x = 524.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.