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Finding the Fourth Proportional to 399.23, 596.75 and 360.13

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Solution

The fourth proportional to 399.23, 596.75 and 360.13 is: 538.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.23 : 596.75 = 360.13 : x
  2. Step 2: Convert to fraction form
    399.23/596.75 = 360.13/x
  3. Step 3: Cross multiply
    399.23x = 596.75 × 360.13
  4. Step 4: Simplify right side
    399.23x = 214,905.40
  5. Step 5: Solve for x
    x = 214,905.40/399.23
  6. Step 6: Final answer
    x = 538.29

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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.