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Finding the Fourth Proportional to 313.74, 468.45 and 277.29

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Solution

The fourth proportional to 313.74, 468.45 and 277.29 is: 414.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.74 : 468.45 = 277.29 : x
  2. Step 2: Convert to fraction form
    313.74/468.45 = 277.29/x
  3. Step 3: Cross multiply
    313.74x = 468.45 × 277.29
  4. Step 4: Simplify right side
    313.74x = 129,896.50
  5. Step 5: Solve for x
    x = 129,896.50/313.74
  6. Step 6: Final answer
    x = 414.03

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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.