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Finding the Fourth Proportional to 600.03, 899.75 and 210.02

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Solution

The fourth proportional to 600.03, 899.75 and 210.02 is: 314.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.03 : 899.75 = 210.02 : x
  2. Step 2: Convert to fraction form
    600.03/899.75 = 210.02/x
  3. Step 3: Cross multiply
    600.03x = 899.75 × 210.02
  4. Step 4: Simplify right side
    600.03x = 188,965.50
  5. Step 5: Solve for x
    x = 188,965.50/600.03
  6. Step 6: Final answer
    x = 314.93

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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.