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Finding the Fourth Proportional to 357.54, 492.72 and 259.11

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Solution

The fourth proportional to 357.54, 492.72 and 259.11 is: 357.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.54 : 492.72 = 259.11 : x
  2. Step 2: Convert to fraction form
    357.54/492.72 = 259.11/x
  3. Step 3: Cross multiply
    357.54x = 492.72 × 259.11
  4. Step 4: Simplify right side
    357.54x = 127,668.68
  5. Step 5: Solve for x
    x = 127,668.68/357.54
  6. Step 6: Final answer
    x = 357.08

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Why These Related Problems?

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