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Finding the Fourth Proportional to 288.21, 394.95 and 260.53

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Solution

The fourth proportional to 288.21, 394.95 and 260.53 is: 357.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.21 : 394.95 = 260.53 : x
  2. Step 2: Convert to fraction form
    288.21/394.95 = 260.53/x
  3. Step 3: Cross multiply
    288.21x = 394.95 × 260.53
  4. Step 4: Simplify right side
    288.21x = 102,896.31
  5. Step 5: Solve for x
    x = 102,896.31/288.21
  6. Step 6: Final answer
    x = 357.02

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.