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Finding the Fourth Proportional to 357.44, 535.68 and 260.48

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Solution

The fourth proportional to 357.44, 535.68 and 260.48 is: 390.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.44 : 535.68 = 260.48 : x
  2. Step 2: Convert to fraction form
    357.44/535.68 = 260.48/x
  3. Step 3: Cross multiply
    357.44x = 535.68 × 260.48
  4. Step 4: Simplify right side
    357.44x = 139,533.93
  5. Step 5: Solve for x
    x = 139,533.93/357.44
  6. Step 6: Final answer
    x = 390.37

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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.