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Finding the Fourth Proportional to 291.78, 400.50 and 260

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Solution

The fourth proportional to 291.78, 400.50 and 260 is: 356.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.78 : 400.50 = 260 : x
  2. Step 2: Convert to fraction form
    291.78/400.50 = 260/x
  3. Step 3: Cross multiply
    291.78x = 400.50 × 260
  4. Step 4: Simplify right side
    291.78x = 104,130
  5. Step 5: Solve for x
    x = 104,130/291.78
  6. Step 6: Final answer
    x = 356.88

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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.