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Finding the Fourth Proportional to 357.31, 535.22 and 288.46

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Solution

The fourth proportional to 357.31, 535.22 and 288.46 is: 432.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.31 : 535.22 = 288.46 : x
  2. Step 2: Convert to fraction form
    357.31/535.22 = 288.46/x
  3. Step 3: Cross multiply
    357.31x = 535.22 × 288.46
  4. Step 4: Simplify right side
    357.31x = 154,385.44
  5. Step 5: Solve for x
    x = 154,385.44/357.31
  6. Step 6: Final answer
    x = 432.08

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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.