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Finding the Fourth Proportional to 415.16, 573.20 and 317.42

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Solution

The fourth proportional to 415.16, 573.20 and 317.42 is: 438.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.16 : 573.20 = 317.42 : x
  2. Step 2: Convert to fraction form
    415.16/573.20 = 317.42/x
  3. Step 3: Cross multiply
    415.16x = 573.20 × 317.42
  4. Step 4: Simplify right side
    415.16x = 181,940.69
  5. Step 5: Solve for x
    x = 181,940.69/415.16
  6. Step 6: Final answer
    x = 438.25

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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.