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Finding the Fourth Proportional to 399.07, 598.57 and 139.22

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Solution

The fourth proportional to 399.07, 598.57 and 139.22 is: 208.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.07 : 598.57 = 139.22 : x
  2. Step 2: Convert to fraction form
    399.07/598.57 = 139.22/x
  3. Step 3: Cross multiply
    399.07x = 598.57 × 139.22
  4. Step 4: Simplify right side
    399.07x = 83,332.92
  5. Step 5: Solve for x
    x = 83,332.92/399.07
  6. Step 6: Final answer
    x = 208.82

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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.