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Finding the Fourth Proportional to 291.78, 400.19 and 258.98

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Solution

The fourth proportional to 291.78, 400.19 and 258.98 is: 355.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.78 : 400.19 = 258.98 : x
  2. Step 2: Convert to fraction form
    291.78/400.19 = 258.98/x
  3. Step 3: Cross multiply
    291.78x = 400.19 × 258.98
  4. Step 4: Simplify right side
    291.78x = 103,637.91
  5. Step 5: Solve for x
    x = 103,637.91/291.78
  6. Step 6: Final answer
    x = 355.19

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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.