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Finding the Fourth Proportional to 146.31, 200.69 and 129.93

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Solution

The fourth proportional to 146.31, 200.69 and 129.93 is: 178.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.31 : 200.69 = 129.93 : x
  2. Step 2: Convert to fraction form
    146.31/200.69 = 129.93/x
  3. Step 3: Cross multiply
    146.31x = 200.69 × 129.93
  4. Step 4: Simplify right side
    146.31x = 26,075.00
  5. Step 5: Solve for x
    x = 26,075.00/146.31
  6. Step 6: Final answer
    x = 178.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.