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Finding the Fourth Proportional to 427.21, 589.84 and 315.19

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Solution

The fourth proportional to 427.21, 589.84 and 315.19 is: 435.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.21 : 589.84 = 315.19 : x
  2. Step 2: Convert to fraction form
    427.21/589.84 = 315.19/x
  3. Step 3: Cross multiply
    427.21x = 589.84 × 315.19
  4. Step 4: Simplify right side
    427.21x = 185,911.62
  5. Step 5: Solve for x
    x = 185,911.62/427.21
  6. Step 6: Final answer
    x = 435.18

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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.