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Finding the Fourth Proportional to 427.58, 589.84 and 270.13

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Solution

The fourth proportional to 427.58, 589.84 and 270.13 is: 372.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.58 : 589.84 = 270.13 : x
  2. Step 2: Convert to fraction form
    427.58/589.84 = 270.13/x
  3. Step 3: Cross multiply
    427.58x = 589.84 × 270.13
  4. Step 4: Simplify right side
    427.58x = 159,335.23
  5. Step 5: Solve for x
    x = 159,335.23/427.58
  6. Step 6: Final answer
    x = 372.65

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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.