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Finding the Fourth Proportional to 313.88, 468.81 and 245.24

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Solution

The fourth proportional to 313.88, 468.81 and 245.24 is: 366.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.88 : 468.81 = 245.24 : x
  2. Step 2: Convert to fraction form
    313.88/468.81 = 245.24/x
  3. Step 3: Cross multiply
    313.88x = 468.81 × 245.24
  4. Step 4: Simplify right side
    313.88x = 114,970.96
  5. Step 5: Solve for x
    x = 114,970.96/313.88
  6. Step 6: Final answer
    x = 366.29

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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.