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Finding the Fourth Proportional to 296.06, 446.35 and 275.18

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Solution

The fourth proportional to 296.06, 446.35 and 275.18 is: 414.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.06 : 446.35 = 275.18 : x
  2. Step 2: Convert to fraction form
    296.06/446.35 = 275.18/x
  3. Step 3: Cross multiply
    296.06x = 446.35 × 275.18
  4. Step 4: Simplify right side
    296.06x = 122,825.22
  5. Step 5: Solve for x
    x = 122,825.22/296.06
  6. Step 6: Final answer
    x = 414.87

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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.