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Finding the Fourth Proportional to 317.93, 474.48 and 309.73

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Solution

The fourth proportional to 317.93, 474.48 and 309.73 is: 462.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.93 : 474.48 = 309.73 : x
  2. Step 2: Convert to fraction form
    317.93/474.48 = 309.73/x
  3. Step 3: Cross multiply
    317.93x = 474.48 × 309.73
  4. Step 4: Simplify right side
    317.93x = 146,960.69
  5. Step 5: Solve for x
    x = 146,960.69/317.93
  6. Step 6: Final answer
    x = 462.24

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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.