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Finding the Fourth Proportional to 427.95, 589.59 and 361.31

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Solution

The fourth proportional to 427.95, 589.59 and 361.31 is: 497.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.95 : 589.59 = 361.31 : x
  2. Step 2: Convert to fraction form
    427.95/589.59 = 361.31/x
  3. Step 3: Cross multiply
    427.95x = 589.59 × 361.31
  4. Step 4: Simplify right side
    427.95x = 213,021.81
  5. Step 5: Solve for x
    x = 213,021.81/427.95
  6. Step 6: Final answer
    x = 497.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.