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Finding the Fourth Proportional to 294.92, 407.06 and 277.34

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Solution

The fourth proportional to 294.92, 407.06 and 277.34 is: 382.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.92 : 407.06 = 277.34 : x
  2. Step 2: Convert to fraction form
    294.92/407.06 = 277.34/x
  3. Step 3: Cross multiply
    294.92x = 407.06 × 277.34
  4. Step 4: Simplify right side
    294.92x = 112,894.02
  5. Step 5: Solve for x
    x = 112,894.02/294.92
  6. Step 6: Final answer
    x = 382.80

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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.