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Finding the Fourth Proportional to 372.78, 512.73 and 357.66

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Solution

The fourth proportional to 372.78, 512.73 and 357.66 is: 491.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.78 : 512.73 = 357.66 : x
  2. Step 2: Convert to fraction form
    372.78/512.73 = 357.66/x
  3. Step 3: Cross multiply
    372.78x = 512.73 × 357.66
  4. Step 4: Simplify right side
    372.78x = 183,383.01
  5. Step 5: Solve for x
    x = 183,383.01/372.78
  6. Step 6: Final answer
    x = 491.93

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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.