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Finding the Fourth Proportional to 361.65, 539.86 and 313.22

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Solution

The fourth proportional to 361.65, 539.86 and 313.22 is: 467.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.65 : 539.86 = 313.22 : x
  2. Step 2: Convert to fraction form
    361.65/539.86 = 313.22/x
  3. Step 3: Cross multiply
    361.65x = 539.86 × 313.22
  4. Step 4: Simplify right side
    361.65x = 169,094.95
  5. Step 5: Solve for x
    x = 169,094.95/361.65
  6. Step 6: Final answer
    x = 467.57

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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.