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Finding the Fourth Proportional to 468.81, 647.00 and 272.33

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Solution

The fourth proportional to 468.81, 647.00 and 272.33 is: 375.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.81 : 647.00 = 272.33 : x
  2. Step 2: Convert to fraction form
    468.81/647.00 = 272.33/x
  3. Step 3: Cross multiply
    468.81x = 647.00 × 272.33
  4. Step 4: Simplify right side
    468.81x = 176,192.91
  5. Step 5: Solve for x
    x = 176,192.91/468.81
  6. Step 6: Final answer
    x = 375.83

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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.