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Finding the Fourth Proportional to 200.55, 299.37 and 176.25

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Solution

The fourth proportional to 200.55, 299.37 and 176.25 is: 263.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.55 : 299.37 = 176.25 : x
  2. Step 2: Convert to fraction form
    200.55/299.37 = 176.25/x
  3. Step 3: Cross multiply
    200.55x = 299.37 × 176.25
  4. Step 4: Simplify right side
    200.55x = 52,763.96
  5. Step 5: Solve for x
    x = 52,763.96/200.55
  6. Step 6: Final answer
    x = 263.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.