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Finding the Fourth Proportional to 407.04, 559.36 and 337.92

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Solution

The fourth proportional to 407.04, 559.36 and 337.92 is: 464.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.04 : 559.36 = 337.92 : x
  2. Step 2: Convert to fraction form
    407.04/559.36 = 337.92/x
  3. Step 3: Cross multiply
    407.04x = 559.36 × 337.92
  4. Step 4: Simplify right side
    407.04x = 189,018.93
  5. Step 5: Solve for x
    x = 189,018.93/407.04
  6. Step 6: Final answer
    x = 464.37

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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.