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Finding the Fourth Proportional to 446.07, 614.94 and 357.81

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Solution

The fourth proportional to 446.07, 614.94 and 357.81 is: 493.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.07 : 614.94 = 357.81 : x
  2. Step 2: Convert to fraction form
    446.07/614.94 = 357.81/x
  3. Step 3: Cross multiply
    446.07x = 614.94 × 357.81
  4. Step 4: Simplify right side
    446.07x = 220,031.68
  5. Step 5: Solve for x
    x = 220,031.68/446.07
  6. Step 6: Final answer
    x = 493.27

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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.