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Finding the Fourth Proportional to 468.70, 647.04 and 282.34

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Solution

The fourth proportional to 468.70, 647.04 and 282.34 is: 389.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.70 : 647.04 = 282.34 : x
  2. Step 2: Convert to fraction form
    468.70/647.04 = 282.34/x
  3. Step 3: Cross multiply
    468.70x = 647.04 × 282.34
  4. Step 4: Simplify right side
    468.70x = 182,685.27
  5. Step 5: Solve for x
    x = 182,685.27/468.70
  6. Step 6: Final answer
    x = 389.77

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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.