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Finding the Fourth Proportional to 405.28, 559.68 and 346.72

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Solution

The fourth proportional to 405.28, 559.68 and 346.72 is: 478.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.28 : 559.68 = 346.72 : x
  2. Step 2: Convert to fraction form
    405.28/559.68 = 346.72/x
  3. Step 3: Cross multiply
    405.28x = 559.68 × 346.72
  4. Step 4: Simplify right side
    405.28x = 194,052.25
  5. Step 5: Solve for x
    x = 194,052.25/405.28
  6. Step 6: Final answer
    x = 478.81

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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.