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Finding the Fourth Proportional to 359.87, 541.96 and 317

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Solution

The fourth proportional to 359.87, 541.96 and 317 is: 477.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.87 : 541.96 = 317 : x
  2. Step 2: Convert to fraction form
    359.87/541.96 = 317/x
  3. Step 3: Cross multiply
    359.87x = 541.96 × 317
  4. Step 4: Simplify right side
    359.87x = 171,801.32
  5. Step 5: Solve for x
    x = 171,801.32/359.87
  6. Step 6: Final answer
    x = 477.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.