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Finding the Fourth Proportional to 335.54, 500.71 and 301.07

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Solution

The fourth proportional to 335.54, 500.71 and 301.07 is: 449.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.54 : 500.71 = 301.07 : x
  2. Step 2: Convert to fraction form
    335.54/500.71 = 301.07/x
  3. Step 3: Cross multiply
    335.54x = 500.71 × 301.07
  4. Step 4: Simplify right side
    335.54x = 150,746.16
  5. Step 5: Solve for x
    x = 150,746.16/335.54
  6. Step 6: Final answer
    x = 449.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.