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Finding the Fourth Proportional to 357.23, 492.90 and 259.13

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Solution

The fourth proportional to 357.23, 492.90 and 259.13 is: 357.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.23 : 492.90 = 259.13 : x
  2. Step 2: Convert to fraction form
    357.23/492.90 = 259.13/x
  3. Step 3: Cross multiply
    357.23x = 492.90 × 259.13
  4. Step 4: Simplify right side
    357.23x = 127,725.18
  5. Step 5: Solve for x
    x = 127,725.18/357.23
  6. Step 6: Final answer
    x = 357.54

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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.