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Finding the Fourth Proportional to 427.30, 589.70 and 240.78

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Solution

The fourth proportional to 427.30, 589.70 and 240.78 is: 332.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.30 : 589.70 = 240.78 : x
  2. Step 2: Convert to fraction form
    427.30/589.70 = 240.78/x
  3. Step 3: Cross multiply
    427.30x = 589.70 × 240.78
  4. Step 4: Simplify right side
    427.30x = 141,987.97
  5. Step 5: Solve for x
    x = 141,987.97/427.30
  6. Step 6: Final answer
    x = 332.29

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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.