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Finding the Fourth Proportional to 427.95, 590.53 and 238.89

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Solution

The fourth proportional to 427.95, 590.53 and 238.89 is: 329.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.95 : 590.53 = 238.89 : x
  2. Step 2: Convert to fraction form
    427.95/590.53 = 238.89/x
  3. Step 3: Cross multiply
    427.95x = 590.53 × 238.89
  4. Step 4: Simplify right side
    427.95x = 141,073.33
  5. Step 5: Solve for x
    x = 141,073.33/427.95
  6. Step 6: Final answer
    x = 329.65

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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.