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Finding the Fourth Proportional to 599.96, 900 and 209.93

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Solution

The fourth proportional to 599.96, 900 and 209.93 is: 314.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.96 : 900 = 209.93 : x
  2. Step 2: Convert to fraction form
    599.96/900 = 209.93/x
  3. Step 3: Cross multiply
    599.96x = 900 × 209.93
  4. Step 4: Simplify right side
    599.96x = 188,932.50
  5. Step 5: Solve for x
    x = 188,932.50/599.96
  6. Step 6: Final answer
    x = 314.91

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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.