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Finding the Fourth Proportional to 405.73, 557.21 and 340.12

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Solution

The fourth proportional to 405.73, 557.21 and 340.12 is: 467.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.73 : 557.21 = 340.12 : x
  2. Step 2: Convert to fraction form
    405.73/557.21 = 340.12/x
  3. Step 3: Cross multiply
    405.73x = 557.21 × 340.12
  4. Step 4: Simplify right side
    405.73x = 189,518.27
  5. Step 5: Solve for x
    x = 189,518.27/405.73
  6. Step 6: Final answer
    x = 467.10

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.