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Finding the Fourth Proportional to 357.09, 533.60 and 253.82

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Solution

The fourth proportional to 357.09, 533.60 and 253.82 is: 379.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.09 : 533.60 = 253.82 : x
  2. Step 2: Convert to fraction form
    357.09/533.60 = 253.82/x
  3. Step 3: Cross multiply
    357.09x = 533.60 × 253.82
  4. Step 4: Simplify right side
    357.09x = 135,434.41
  5. Step 5: Solve for x
    x = 135,434.41/357.09
  6. Step 6: Final answer
    x = 379.27

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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.