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Finding the Fourth Proportional to 313.96, 468.61 and 281.48

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Solution

The fourth proportional to 313.96, 468.61 and 281.48 is: 420.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.96 : 468.61 = 281.48 : x
  2. Step 2: Convert to fraction form
    313.96/468.61 = 281.48/x
  3. Step 3: Cross multiply
    313.96x = 468.61 × 281.48
  4. Step 4: Simplify right side
    313.96x = 131,904.34
  5. Step 5: Solve for x
    x = 131,904.34/313.96
  6. Step 6: Final answer
    x = 420.13

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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.