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Finding the Fourth Proportional to 139.51, 210.01 and 99.22

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Solution

The fourth proportional to 139.51, 210.01 and 99.22 is: 149.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.51 : 210.01 = 99.22 : x
  2. Step 2: Convert to fraction form
    139.51/210.01 = 99.22/x
  3. Step 3: Cross multiply
    139.51x = 210.01 × 99.22
  4. Step 4: Simplify right side
    139.51x = 20,837.19
  5. Step 5: Solve for x
    x = 20,837.19/139.51
  6. Step 6: Final answer
    x = 149.36

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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.