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Finding the Fourth Proportional to 427.78, 590.30 and 270.36

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Solution

The fourth proportional to 427.78, 590.30 and 270.36 is: 373.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.78 : 590.30 = 270.36 : x
  2. Step 2: Convert to fraction form
    427.78/590.30 = 270.36/x
  3. Step 3: Cross multiply
    427.78x = 590.30 × 270.36
  4. Step 4: Simplify right side
    427.78x = 159,593.51
  5. Step 5: Solve for x
    x = 159,593.51/427.78
  6. Step 6: Final answer
    x = 373.07

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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.