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Finding the Fourth Proportional to 467.70, 644.94 and 357.12

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Solution

The fourth proportional to 467.70, 644.94 and 357.12 is: 492.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.70 : 644.94 = 357.12 : x
  2. Step 2: Convert to fraction form
    467.70/644.94 = 357.12/x
  3. Step 3: Cross multiply
    467.70x = 644.94 × 357.12
  4. Step 4: Simplify right side
    467.70x = 230,320.97
  5. Step 5: Solve for x
    x = 230,320.97/467.70
  6. Step 6: Final answer
    x = 492.45

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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.