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Finding the Fourth Proportional to 428.98, 591.09 and 290.74

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Solution

The fourth proportional to 428.98, 591.09 and 290.74 is: 400.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.98 : 591.09 = 290.74 : x
  2. Step 2: Convert to fraction form
    428.98/591.09 = 290.74/x
  3. Step 3: Cross multiply
    428.98x = 591.09 × 290.74
  4. Step 4: Simplify right side
    428.98x = 171,853.51
  5. Step 5: Solve for x
    x = 171,853.51/428.98
  6. Step 6: Final answer
    x = 400.61

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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.