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Finding the Fourth Proportional to 993.34, 1,490.07 and 299.98

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Solution

The fourth proportional to 993.34, 1,490.07 and 299.98 is: 449.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.34 : 1,490.07 = 299.98 : x
  2. Step 2: Convert to fraction form
    993.34/1,490.07 = 299.98/x
  3. Step 3: Cross multiply
    993.34x = 1,490.07 × 299.98
  4. Step 4: Simplify right side
    993.34x = 446,991.20
  5. Step 5: Solve for x
    x = 446,991.20/993.34
  6. Step 6: Final answer
    x = 449.99

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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.