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Finding the Fourth Proportional to 628.01, 942.02 and 257.72

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Solution

The fourth proportional to 628.01, 942.02 and 257.72 is: 386.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.01 : 942.02 = 257.72 : x
  2. Step 2: Convert to fraction form
    628.01/942.02 = 257.72/x
  3. Step 3: Cross multiply
    628.01x = 942.02 × 257.72
  4. Step 4: Simplify right side
    628.01x = 242,777.66
  5. Step 5: Solve for x
    x = 242,777.66/628.01
  6. Step 6: Final answer
    x = 386.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.