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Finding the Fourth Proportional to 427.99, 590.67 and 251.02

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Solution

The fourth proportional to 427.99, 590.67 and 251.02 is: 346.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.99 : 590.67 = 251.02 : x
  2. Step 2: Convert to fraction form
    427.99/590.67 = 251.02/x
  3. Step 3: Cross multiply
    427.99x = 590.67 × 251.02
  4. Step 4: Simplify right side
    427.99x = 148,269.98
  5. Step 5: Solve for x
    x = 148,269.98/427.99
  6. Step 6: Final answer
    x = 346.43

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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.