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Finding the Fourth Proportional to 358.26, 535.13 and 317.94

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Solution

The fourth proportional to 358.26, 535.13 and 317.94 is: 474.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.26 : 535.13 = 317.94 : x
  2. Step 2: Convert to fraction form
    358.26/535.13 = 317.94/x
  3. Step 3: Cross multiply
    358.26x = 535.13 × 317.94
  4. Step 4: Simplify right side
    358.26x = 170,137.64
  5. Step 5: Solve for x
    x = 170,137.64/358.26
  6. Step 6: Final answer
    x = 474.90

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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.