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Finding the Fourth Proportional to 163.02, 245.82 and 139.26

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Solution

The fourth proportional to 163.02, 245.82 and 139.26 is: 209.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.02 : 245.82 = 139.26 : x
  2. Step 2: Convert to fraction form
    163.02/245.82 = 139.26/x
  3. Step 3: Cross multiply
    163.02x = 245.82 × 139.26
  4. Step 4: Simplify right side
    163.02x = 34,232.89
  5. Step 5: Solve for x
    x = 34,232.89/163.02
  6. Step 6: Final answer
    x = 209.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.