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Finding the Fourth Proportional to 427.56, 589.83 and 270

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Solution

The fourth proportional to 427.56, 589.83 and 270 is: 372.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.56 : 589.83 = 270 : x
  2. Step 2: Convert to fraction form
    427.56/589.83 = 270/x
  3. Step 3: Cross multiply
    427.56x = 589.83 × 270
  4. Step 4: Simplify right side
    427.56x = 159,254.10
  5. Step 5: Solve for x
    x = 159,254.10/427.56
  6. Step 6: Final answer
    x = 372.47

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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.