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Finding the Fourth Proportional to 312.29, 468.54 and 149.99

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Solution

The fourth proportional to 312.29, 468.54 and 149.99 is: 225.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.29 : 468.54 = 149.99 : x
  2. Step 2: Convert to fraction form
    312.29/468.54 = 149.99/x
  3. Step 3: Cross multiply
    312.29x = 468.54 × 149.99
  4. Step 4: Simplify right side
    312.29x = 70,273.22
  5. Step 5: Solve for x
    x = 70,273.22/312.29
  6. Step 6: Final answer
    x = 225.03

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