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Finding the Fourth Proportional to 399.01, 598.41 and 193.47

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Solution

The fourth proportional to 399.01, 598.41 and 193.47 is: 290.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.01 : 598.41 = 193.47 : x
  2. Step 2: Convert to fraction form
    399.01/598.41 = 193.47/x
  3. Step 3: Cross multiply
    399.01x = 598.41 × 193.47
  4. Step 4: Simplify right side
    399.01x = 115,774.38
  5. Step 5: Solve for x
    x = 115,774.38/399.01
  6. Step 6: Final answer
    x = 290.15

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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.