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Finding the Fourth Proportional to 599.80, 899.35 and 234.16

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Solution

The fourth proportional to 599.80, 899.35 and 234.16 is: 351.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.80 : 899.35 = 234.16 : x
  2. Step 2: Convert to fraction form
    599.80/899.35 = 234.16/x
  3. Step 3: Cross multiply
    599.80x = 899.35 × 234.16
  4. Step 4: Simplify right side
    599.80x = 210,590.63
  5. Step 5: Solve for x
    x = 210,590.63/599.80
  6. Step 6: Final answer
    x = 351.10

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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.