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Finding the Fourth Proportional to 145, 200.10 and 82.81

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Solution

The fourth proportional to 145, 200.10 and 82.81 is: 114.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    145 : 200.10 = 82.81 : x
  2. Step 2: Convert to fraction form
    145/200.10 = 82.81/x
  3. Step 3: Cross multiply
    145x = 200.10 × 82.81
  4. Step 4: Simplify right side
    145x = 16,570.28
  5. Step 5: Solve for x
    x = 16,570.28/145
  6. Step 6: Final answer
    x = 114.28

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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.