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Finding the Fourth Proportional to 293, 403.08 and 260.18

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Solution

The fourth proportional to 293, 403.08 and 260.18 is: 357.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    293 : 403.08 = 260.18 : x
  2. Step 2: Convert to fraction form
    293/403.08 = 260.18/x
  3. Step 3: Cross multiply
    293x = 403.08 × 260.18
  4. Step 4: Simplify right side
    293x = 104,873.35
  5. Step 5: Solve for x
    x = 104,873.35/293
  6. Step 6: Final answer
    x = 357.93

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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.