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Finding the Fourth Proportional to 446.34, 616.14 and 320.39

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Solution

The fourth proportional to 446.34, 616.14 and 320.39 is: 442.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.34 : 616.14 = 320.39 : x
  2. Step 2: Convert to fraction form
    446.34/616.14 = 320.39/x
  3. Step 3: Cross multiply
    446.34x = 616.14 × 320.39
  4. Step 4: Simplify right side
    446.34x = 197,402.01
  5. Step 5: Solve for x
    x = 197,402.01/446.34
  6. Step 6: Final answer
    x = 442.27

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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.