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Finding the Fourth Proportional to 610.21, 915.32 and 199.34

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Solution

The fourth proportional to 610.21, 915.32 and 199.34 is: 299.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.21 : 915.32 = 199.34 : x
  2. Step 2: Convert to fraction form
    610.21/915.32 = 199.34/x
  3. Step 3: Cross multiply
    610.21x = 915.32 × 199.34
  4. Step 4: Simplify right side
    610.21x = 182,462.68
  5. Step 5: Solve for x
    x = 182,462.68/610.21
  6. Step 6: Final answer
    x = 299.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.