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Finding the Fourth Proportional to 441.80, 609.18 and 317.06

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Solution

The fourth proportional to 441.80, 609.18 and 317.06 is: 437.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.80 : 609.18 = 317.06 : x
  2. Step 2: Convert to fraction form
    441.80/609.18 = 317.06/x
  3. Step 3: Cross multiply
    441.80x = 609.18 × 317.06
  4. Step 4: Simplify right side
    441.80x = 193,146.61
  5. Step 5: Solve for x
    x = 193,146.61/441.80
  6. Step 6: Final answer
    x = 437.18

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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.