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Finding the Fourth Proportional to 294.85, 407.22 and 270.25

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Solution

The fourth proportional to 294.85, 407.22 and 270.25 is: 373.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.85 : 407.22 = 270.25 : x
  2. Step 2: Convert to fraction form
    294.85/407.22 = 270.25/x
  3. Step 3: Cross multiply
    294.85x = 407.22 × 270.25
  4. Step 4: Simplify right side
    294.85x = 110,049.17
  5. Step 5: Solve for x
    x = 110,049.17/294.85
  6. Step 6: Final answer
    x = 373.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.