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Finding the Fourth Proportional to 397.09, 591.64 and 372.25

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Solution

The fourth proportional to 397.09, 591.64 and 372.25 is: 554.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.09 : 591.64 = 372.25 : x
  2. Step 2: Convert to fraction form
    397.09/591.64 = 372.25/x
  3. Step 3: Cross multiply
    397.09x = 591.64 × 372.25
  4. Step 4: Simplify right side
    397.09x = 220,237.99
  5. Step 5: Solve for x
    x = 220,237.99/397.09
  6. Step 6: Final answer
    x = 554.63

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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.