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Finding the Fourth Proportional to 407.23, 559.27 and 341.62

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Solution

The fourth proportional to 407.23, 559.27 and 341.62 is: 469.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.23 : 559.27 = 341.62 : x
  2. Step 2: Convert to fraction form
    407.23/559.27 = 341.62/x
  3. Step 3: Cross multiply
    407.23x = 559.27 × 341.62
  4. Step 4: Simplify right side
    407.23x = 191,056.11
  5. Step 5: Solve for x
    x = 191,056.11/407.23
  6. Step 6: Final answer
    x = 469.16

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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.