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Finding the Fourth Proportional to 145.23, 200.37 and 107.82

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Solution

The fourth proportional to 145.23, 200.37 and 107.82 is: 148.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.23 : 200.37 = 107.82 : x
  2. Step 2: Convert to fraction form
    145.23/200.37 = 107.82/x
  3. Step 3: Cross multiply
    145.23x = 200.37 × 107.82
  4. Step 4: Simplify right side
    145.23x = 21,603.89
  5. Step 5: Solve for x
    x = 21,603.89/145.23
  6. Step 6: Final answer
    x = 148.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.