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Finding the Fourth Proportional to 492.06, 678.99 and 271.02

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Solution

The fourth proportional to 492.06, 678.99 and 271.02 is: 373.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.06 : 678.99 = 271.02 : x
  2. Step 2: Convert to fraction form
    492.06/678.99 = 271.02/x
  3. Step 3: Cross multiply
    492.06x = 678.99 × 271.02
  4. Step 4: Simplify right side
    492.06x = 184,019.87
  5. Step 5: Solve for x
    x = 184,019.87/492.06
  6. Step 6: Final answer
    x = 373.98

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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.