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Finding the Fourth Proportional to 611.44, 916.96 and 282.16

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Solution

The fourth proportional to 611.44, 916.96 and 282.16 is: 423.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.44 : 916.96 = 282.16 : x
  2. Step 2: Convert to fraction form
    611.44/916.96 = 282.16/x
  3. Step 3: Cross multiply
    611.44x = 916.96 × 282.16
  4. Step 4: Simplify right side
    611.44x = 258,729.43
  5. Step 5: Solve for x
    x = 258,729.43/611.44
  6. Step 6: Final answer
    x = 423.15

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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.