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Finding the Fourth Proportional to 428.11, 590.53 and 270.46

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Solution

The fourth proportional to 428.11, 590.53 and 270.46 is: 373.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.11 : 590.53 = 270.46 : x
  2. Step 2: Convert to fraction form
    428.11/590.53 = 270.46/x
  3. Step 3: Cross multiply
    428.11x = 590.53 × 270.46
  4. Step 4: Simplify right side
    428.11x = 159,713.39
  5. Step 5: Solve for x
    x = 159,713.39/428.11
  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.