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Finding the Fourth Proportional to 263.60, 393.65 and 260.74

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Solution

The fourth proportional to 263.60, 393.65 and 260.74 is: 389.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.60 : 393.65 = 260.74 : x
  2. Step 2: Convert to fraction form
    263.60/393.65 = 260.74/x
  3. Step 3: Cross multiply
    263.60x = 393.65 × 260.74
  4. Step 4: Simplify right side
    263.60x = 102,640.95
  5. Step 5: Solve for x
    x = 102,640.95/263.60
  6. Step 6: Final answer
    x = 389.38

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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.