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Finding the Fourth Proportional to 397.45, 592.70 and 356.50

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Solution

The fourth proportional to 397.45, 592.70 and 356.50 is: 531.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.45 : 592.70 = 356.50 : x
  2. Step 2: Convert to fraction form
    397.45/592.70 = 356.50/x
  3. Step 3: Cross multiply
    397.45x = 592.70 × 356.50
  4. Step 4: Simplify right side
    397.45x = 211,297.55
  5. Step 5: Solve for x
    x = 211,297.55/397.45
  6. Step 6: Final answer
    x = 531.63

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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.