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Finding the Fourth Proportional to 397.41, 595.61 and 191.58

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Solution

The fourth proportional to 397.41, 595.61 and 191.58 is: 287.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.41 : 595.61 = 191.58 : x
  2. Step 2: Convert to fraction form
    397.41/595.61 = 191.58/x
  3. Step 3: Cross multiply
    397.41x = 595.61 × 191.58
  4. Step 4: Simplify right side
    397.41x = 114,106.01
  5. Step 5: Solve for x
    x = 114,106.01/397.41
  6. Step 6: Final answer
    x = 287.12

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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.