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Finding the Fourth Proportional to 405.92, 560.04 and 338.70

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Solution

The fourth proportional to 405.92, 560.04 and 338.70 is: 467.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.92 : 560.04 = 338.70 : x
  2. Step 2: Convert to fraction form
    405.92/560.04 = 338.70/x
  3. Step 3: Cross multiply
    405.92x = 560.04 × 338.70
  4. Step 4: Simplify right side
    405.92x = 189,685.55
  5. Step 5: Solve for x
    x = 189,685.55/405.92
  6. Step 6: Final answer
    x = 467.30

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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.