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Finding the Fourth Proportional to 294.90, 407.01 and 178.52

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Solution

The fourth proportional to 294.90, 407.01 and 178.52 is: 246.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.90 : 407.01 = 178.52 : x
  2. Step 2: Convert to fraction form
    294.90/407.01 = 178.52/x
  3. Step 3: Cross multiply
    294.90x = 407.01 × 178.52
  4. Step 4: Simplify right side
    294.90x = 72,659.43
  5. Step 5: Solve for x
    x = 72,659.43/294.90
  6. Step 6: Final answer
    x = 246.39

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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.