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Finding the Fourth Proportional to 428.67, 590.98 and 310.81

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Solution

The fourth proportional to 428.67, 590.98 and 310.81 is: 428.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.67 : 590.98 = 310.81 : x
  2. Step 2: Convert to fraction form
    428.67/590.98 = 310.81/x
  3. Step 3: Cross multiply
    428.67x = 590.98 × 310.81
  4. Step 4: Simplify right side
    428.67x = 183,682.49
  5. Step 5: Solve for x
    x = 183,682.49/428.67
  6. Step 6: Final answer
    x = 428.49

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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.