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Finding the Fourth Proportional to 294.94, 407.06 and 178.57

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Solution

The fourth proportional to 294.94, 407.06 and 178.57 is: 246.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.94 : 407.06 = 178.57 : x
  2. Step 2: Convert to fraction form
    294.94/407.06 = 178.57/x
  3. Step 3: Cross multiply
    294.94x = 407.06 × 178.57
  4. Step 4: Simplify right side
    294.94x = 72,688.13
  5. Step 5: Solve for x
    x = 72,688.13/294.94
  6. Step 6: Final answer
    x = 246.45

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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.