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Finding the Fourth Proportional to 600.12, 899.90 and 210

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Solution

The fourth proportional to 600.12, 899.90 and 210 is: 314.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.12 : 899.90 = 210 : x
  2. Step 2: Convert to fraction form
    600.12/899.90 = 210/x
  3. Step 3: Cross multiply
    600.12x = 899.90 × 210
  4. Step 4: Simplify right side
    600.12x = 188,979
  5. Step 5: Solve for x
    x = 188,979/600.12
  6. Step 6: Final answer
    x = 314.90

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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.