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Finding the Fourth Proportional to 427.48, 589.02 and 289.24

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Solution

The fourth proportional to 427.48, 589.02 and 289.24 is: 398.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.48 : 589.02 = 289.24 : x
  2. Step 2: Convert to fraction form
    427.48/589.02 = 289.24/x
  3. Step 3: Cross multiply
    427.48x = 589.02 × 289.24
  4. Step 4: Simplify right side
    427.48x = 170,368.14
  5. Step 5: Solve for x
    x = 170,368.14/427.48
  6. Step 6: Final answer
    x = 398.54

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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.