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Finding the Fourth Proportional to 317.00, 434.72 and 301.21

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Solution

The fourth proportional to 317.00, 434.72 and 301.21 is: 413.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.00 : 434.72 = 301.21 : x
  2. Step 2: Convert to fraction form
    317.00/434.72 = 301.21/x
  3. Step 3: Cross multiply
    317.00x = 434.72 × 301.21
  4. Step 4: Simplify right side
    317.00x = 130,941.68
  5. Step 5: Solve for x
    x = 130,941.68/317.00
  6. Step 6: Final answer
    x = 413.06

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.