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Finding the Fourth Proportional to 295.35, 445.24 and 275.53

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Solution

The fourth proportional to 295.35, 445.24 and 275.53 is: 415.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.35 : 445.24 = 275.53 : x
  2. Step 2: Convert to fraction form
    295.35/445.24 = 275.53/x
  3. Step 3: Cross multiply
    295.35x = 445.24 × 275.53
  4. Step 4: Simplify right side
    295.35x = 122,675.18
  5. Step 5: Solve for x
    x = 122,675.18/295.35
  6. Step 6: Final answer
    x = 415.36

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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.