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Finding the Fourth Proportional to 357.21, 492.79 and 258.79

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Solution

The fourth proportional to 357.21, 492.79 and 258.79 is: 357.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.21 : 492.79 = 258.79 : x
  2. Step 2: Convert to fraction form
    357.21/492.79 = 258.79/x
  3. Step 3: Cross multiply
    357.21x = 492.79 × 258.79
  4. Step 4: Simplify right side
    357.21x = 127,529.12
  5. Step 5: Solve for x
    x = 127,529.12/357.21
  6. Step 6: Final answer
    x = 357.01

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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.