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Finding the Fourth Proportional to 317.22, 473.70 and 301.42

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Solution

The fourth proportional to 317.22, 473.70 and 301.42 is: 450.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.22 : 473.70 = 301.42 : x
  2. Step 2: Convert to fraction form
    317.22/473.70 = 301.42/x
  3. Step 3: Cross multiply
    317.22x = 473.70 × 301.42
  4. Step 4: Simplify right side
    317.22x = 142,782.65
  5. Step 5: Solve for x
    x = 142,782.65/317.22
  6. Step 6: Final answer
    x = 450.11

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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.