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Finding the Fourth Proportional to 599.62, 899.19 and 214.90

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Solution

The fourth proportional to 599.62, 899.19 and 214.90 is: 322.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.62 : 899.19 = 214.90 : x
  2. Step 2: Convert to fraction form
    599.62/899.19 = 214.90/x
  3. Step 3: Cross multiply
    599.62x = 899.19 × 214.90
  4. Step 4: Simplify right side
    599.62x = 193,235.93
  5. Step 5: Solve for x
    x = 193,235.93/599.62
  6. Step 6: Final answer
    x = 322.26

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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.