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Finding the Fourth Proportional to 379.08, 566.29 and 317.57

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Solution

The fourth proportional to 379.08, 566.29 and 317.57 is: 474.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.08 : 566.29 = 317.57 : x
  2. Step 2: Convert to fraction form
    379.08/566.29 = 317.57/x
  3. Step 3: Cross multiply
    379.08x = 566.29 × 317.57
  4. Step 4: Simplify right side
    379.08x = 179,837.47
  5. Step 5: Solve for x
    x = 179,837.47/379.08
  6. Step 6: Final answer
    x = 474.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.