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Finding the Fourth Proportional to 200.61, 299.46 and 177.60

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Solution

The fourth proportional to 200.61, 299.46 and 177.60 is: 265.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.61 : 299.46 = 177.60 : x
  2. Step 2: Convert to fraction form
    200.61/299.46 = 177.60/x
  3. Step 3: Cross multiply
    200.61x = 299.46 × 177.60
  4. Step 4: Simplify right side
    200.61x = 53,184.10
  5. Step 5: Solve for x
    x = 53,184.10/200.61
  6. Step 6: Final answer
    x = 265.11

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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.