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Finding the Fourth Proportional to 357.82, 494.20 and 260.01

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Solution

The fourth proportional to 357.82, 494.20 and 260.01 is: 359.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.82 : 494.20 = 260.01 : x
  2. Step 2: Convert to fraction form
    357.82/494.20 = 260.01/x
  3. Step 3: Cross multiply
    357.82x = 494.20 × 260.01
  4. Step 4: Simplify right side
    357.82x = 128,497.27
  5. Step 5: Solve for x
    x = 128,497.27/357.82
  6. Step 6: Final answer
    x = 359.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.