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Finding the Fourth Proportional to 269.04, 399.95 and 260.84

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Solution

The fourth proportional to 269.04, 399.95 and 260.84 is: 387.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.04 : 399.95 = 260.84 : x
  2. Step 2: Convert to fraction form
    269.04/399.95 = 260.84/x
  3. Step 3: Cross multiply
    269.04x = 399.95 × 260.84
  4. Step 4: Simplify right side
    269.04x = 104,323.63
  5. Step 5: Solve for x
    x = 104,323.63/269.04
  6. Step 6: Final answer
    x = 387.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.