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Finding the Fourth Proportional to 296.70, 407.22 and 272.07

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Solution

The fourth proportional to 296.70, 407.22 and 272.07 is: 373.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.70 : 407.22 = 272.07 : x
  2. Step 2: Convert to fraction form
    296.70/407.22 = 272.07/x
  3. Step 3: Cross multiply
    296.70x = 407.22 × 272.07
  4. Step 4: Simplify right side
    296.70x = 110,792.35
  5. Step 5: Solve for x
    x = 110,792.35/296.70
  6. Step 6: Final answer
    x = 373.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.