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Finding the Fourth Proportional to 200.20, 275.88 and 186.52

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Solution

The fourth proportional to 200.20, 275.88 and 186.52 is: 257.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.20 : 275.88 = 186.52 : x
  2. Step 2: Convert to fraction form
    200.20/275.88 = 186.52/x
  3. Step 3: Cross multiply
    200.20x = 275.88 × 186.52
  4. Step 4: Simplify right side
    200.20x = 51,457.14
  5. Step 5: Solve for x
    x = 51,457.14/200.20
  6. Step 6: Final answer
    x = 257.03

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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.