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Finding the Fourth Proportional to 145.49, 200.78 and 80.00

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Solution

The fourth proportional to 145.49, 200.78 and 80.00 is: 110.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.49 : 200.78 = 80.00 : x
  2. Step 2: Convert to fraction form
    145.49/200.78 = 80.00/x
  3. Step 3: Cross multiply
    145.49x = 200.78 × 80.00
  4. Step 4: Simplify right side
    145.49x = 16,063.10
  5. Step 5: Solve for x
    x = 16,063.10/145.49
  6. Step 6: Final answer
    x = 110.41

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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.