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Finding the Fourth Proportional to 407.80, 561.09 and 341.92

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Solution

The fourth proportional to 407.80, 561.09 and 341.92 is: 470.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.80 : 561.09 = 341.92 : x
  2. Step 2: Convert to fraction form
    407.80/561.09 = 341.92/x
  3. Step 3: Cross multiply
    407.80x = 561.09 × 341.92
  4. Step 4: Simplify right side
    407.80x = 191,847.89
  5. Step 5: Solve for x
    x = 191,847.89/407.80
  6. Step 6: Final answer
    x = 470.45

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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.