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Finding the Fourth Proportional to 335.14, 505.15 and 321.23

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Solution

The fourth proportional to 335.14, 505.15 and 321.23 is: 484.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.14 : 505.15 = 321.23 : x
  2. Step 2: Convert to fraction form
    335.14/505.15 = 321.23/x
  3. Step 3: Cross multiply
    335.14x = 505.15 × 321.23
  4. Step 4: Simplify right side
    335.14x = 162,271.60
  5. Step 5: Solve for x
    x = 162,271.60/335.14
  6. Step 6: Final answer
    x = 484.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.