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Finding the Fourth Proportional to 353.82, 529.92 and 293.07

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Solution

The fourth proportional to 353.82, 529.92 and 293.07 is: 438.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.82 : 529.92 = 293.07 : x
  2. Step 2: Convert to fraction form
    353.82/529.92 = 293.07/x
  3. Step 3: Cross multiply
    353.82x = 529.92 × 293.07
  4. Step 4: Simplify right side
    353.82x = 155,303.65
  5. Step 5: Solve for x
    x = 155,303.65/353.82
  6. Step 6: Final answer
    x = 438.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.