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Finding the Fourth Proportional to 428.49, 590.90 and 304.16

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Solution

The fourth proportional to 428.49, 590.90 and 304.16 is: 419.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.49 : 590.90 = 304.16 : x
  2. Step 2: Convert to fraction form
    428.49/590.90 = 304.16/x
  3. Step 3: Cross multiply
    428.49x = 590.90 × 304.16
  4. Step 4: Simplify right side
    428.49x = 179,723.67
  5. Step 5: Solve for x
    x = 179,723.67/428.49
  6. Step 6: Final answer
    x = 419.43

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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.