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Finding the Fourth Proportional to 428.90, 591.12 and 340.22

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Solution

The fourth proportional to 428.90, 591.12 and 340.22 is: 468.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.90 : 591.12 = 340.22 : x
  2. Step 2: Convert to fraction form
    428.90/591.12 = 340.22/x
  3. Step 3: Cross multiply
    428.90x = 591.12 × 340.22
  4. Step 4: Simplify right side
    428.90x = 201,110.85
  5. Step 5: Solve for x
    x = 201,110.85/428.90
  6. Step 6: Final answer
    x = 468.90

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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.