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Finding the Fourth Proportional to 428.30, 590.71 and 310.29

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Solution

The fourth proportional to 428.30, 590.71 and 310.29 is: 427.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.30 : 590.71 = 310.29 : x
  2. Step 2: Convert to fraction form
    428.30/590.71 = 310.29/x
  3. Step 3: Cross multiply
    428.30x = 590.71 × 310.29
  4. Step 4: Simplify right side
    428.30x = 183,291.41
  5. Step 5: Solve for x
    x = 183,291.41/428.30
  6. Step 6: Final answer
    x = 427.95

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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.