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Finding the Fourth Proportional to 295.84, 445.48 and 260.20

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Solution

The fourth proportional to 295.84, 445.48 and 260.20 is: 391.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.84 : 445.48 = 260.20 : x
  2. Step 2: Convert to fraction form
    295.84/445.48 = 260.20/x
  3. Step 3: Cross multiply
    295.84x = 445.48 × 260.20
  4. Step 4: Simplify right side
    295.84x = 115,913.90
  5. Step 5: Solve for x
    x = 115,913.90/295.84
  6. Step 6: Final answer
    x = 391.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.