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Finding the Fourth Proportional to 415.79, 573.02 and 310.69

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Solution

The fourth proportional to 415.79, 573.02 and 310.69 is: 428.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.79 : 573.02 = 310.69 : x
  2. Step 2: Convert to fraction form
    415.79/573.02 = 310.69/x
  3. Step 3: Cross multiply
    415.79x = 573.02 × 310.69
  4. Step 4: Simplify right side
    415.79x = 178,031.58
  5. Step 5: Solve for x
    x = 178,031.58/415.79
  6. Step 6: Final answer
    x = 428.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.