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Finding the Fourth Proportional to 427.80, 590.72 and 303.74

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Solution

The fourth proportional to 427.80, 590.72 and 303.74 is: 419.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.80 : 590.72 = 303.74 : x
  2. Step 2: Convert to fraction form
    427.80/590.72 = 303.74/x
  3. Step 3: Cross multiply
    427.80x = 590.72 × 303.74
  4. Step 4: Simplify right side
    427.80x = 179,425.29
  5. Step 5: Solve for x
    x = 179,425.29/427.80
  6. Step 6: Final answer
    x = 419.41

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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.