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Finding the Fourth Proportional to 312.54, 431.06 and 202.04

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Solution

The fourth proportional to 312.54, 431.06 and 202.04 is: 278.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.54 : 431.06 = 202.04 : x
  2. Step 2: Convert to fraction form
    312.54/431.06 = 202.04/x
  3. Step 3: Cross multiply
    312.54x = 431.06 × 202.04
  4. Step 4: Simplify right side
    312.54x = 87,091.36
  5. Step 5: Solve for x
    x = 87,091.36/312.54
  6. Step 6: Final answer
    x = 278.66

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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.