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Finding the Fourth Proportional to 357.09, 535.89 and 287.90

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Solution

The fourth proportional to 357.09, 535.89 and 287.90 is: 432.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.09 : 535.89 = 287.90 : x
  2. Step 2: Convert to fraction form
    357.09/535.89 = 287.90/x
  3. Step 3: Cross multiply
    357.09x = 535.89 × 287.90
  4. Step 4: Simplify right side
    357.09x = 154,280.82
  5. Step 5: Solve for x
    x = 154,280.82/357.09
  6. Step 6: Final answer
    x = 432.05

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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.