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Finding the Fourth Proportional to 427.96, 590.64 and 250.98

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Solution

The fourth proportional to 427.96, 590.64 and 250.98 is: 346.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.96 : 590.64 = 250.98 : x
  2. Step 2: Convert to fraction form
    427.96/590.64 = 250.98/x
  3. Step 3: Cross multiply
    427.96x = 590.64 × 250.98
  4. Step 4: Simplify right side
    427.96x = 148,238.83
  5. Step 5: Solve for x
    x = 148,238.83/427.96
  6. Step 6: Final answer
    x = 346.38

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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.