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Finding the Fourth Proportional to 428.12, 590.98 and 369.34

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Solution

The fourth proportional to 428.12, 590.98 and 369.34 is: 509.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.12 : 590.98 = 369.34 : x
  2. Step 2: Convert to fraction form
    428.12/590.98 = 369.34/x
  3. Step 3: Cross multiply
    428.12x = 590.98 × 369.34
  4. Step 4: Simplify right side
    428.12x = 218,272.55
  5. Step 5: Solve for x
    x = 218,272.55/428.12
  6. Step 6: Final answer
    x = 509.84

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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.