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Finding the Fourth Proportional to 590.02, 884.80 and 199.92

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Solution

The fourth proportional to 590.02, 884.80 and 199.92 is: 299.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.02 : 884.80 = 199.92 : x
  2. Step 2: Convert to fraction form
    590.02/884.80 = 199.92/x
  3. Step 3: Cross multiply
    590.02x = 884.80 × 199.92
  4. Step 4: Simplify right side
    590.02x = 176,889.22
  5. Step 5: Solve for x
    x = 176,889.22/590.02
  6. Step 6: Final answer
    x = 299.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.