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Finding the Fourth Proportional to 397.50, 591.21 and 389.30

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Solution

The fourth proportional to 397.50, 591.21 and 389.30 is: 579.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.50 : 591.21 = 389.30 : x
  2. Step 2: Convert to fraction form
    397.50/591.21 = 389.30/x
  3. Step 3: Cross multiply
    397.50x = 591.21 × 389.30
  4. Step 4: Simplify right side
    397.50x = 230,158.05
  5. Step 5: Solve for x
    x = 230,158.05/397.50
  6. Step 6: Final answer
    x = 579.01

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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.