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Finding the Fourth Proportional to 313.11, 469.65 and 192.15

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Solution

The fourth proportional to 313.11, 469.65 and 192.15 is: 288.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.11 : 469.65 = 192.15 : x
  2. Step 2: Convert to fraction form
    313.11/469.65 = 192.15/x
  3. Step 3: Cross multiply
    313.11x = 469.65 × 192.15
  4. Step 4: Simplify right side
    313.11x = 90,243.25
  5. Step 5: Solve for x
    x = 90,243.25/313.11
  6. Step 6: Final answer
    x = 288.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.