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Finding the Fourth Proportional to 292.36, 401.32 and 258.88

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Solution

The fourth proportional to 292.36, 401.32 and 258.88 is: 355.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.36 : 401.32 = 258.88 : x
  2. Step 2: Convert to fraction form
    292.36/401.32 = 258.88/x
  3. Step 3: Cross multiply
    292.36x = 401.32 × 258.88
  4. Step 4: Simplify right side
    292.36x = 103,893.72
  5. Step 5: Solve for x
    x = 103,893.72/292.36
  6. Step 6: Final answer
    x = 355.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.