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Finding the Fourth Proportional to 315.19, 469.97 and 309.73

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Solution

The fourth proportional to 315.19, 469.97 and 309.73 is: 461.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.19 : 469.97 = 309.73 : x
  2. Step 2: Convert to fraction form
    315.19/469.97 = 309.73/x
  3. Step 3: Cross multiply
    315.19x = 469.97 × 309.73
  4. Step 4: Simplify right side
    315.19x = 145,563.81
  5. Step 5: Solve for x
    x = 145,563.81/315.19
  6. Step 6: Final answer
    x = 461.83

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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.