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Finding the Fourth Proportional to 445.86, 614.85 and 352.42

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Solution

The fourth proportional to 445.86, 614.85 and 352.42 is: 485.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.86 : 614.85 = 352.42 : x
  2. Step 2: Convert to fraction form
    445.86/614.85 = 352.42/x
  3. Step 3: Cross multiply
    445.86x = 614.85 × 352.42
  4. Step 4: Simplify right side
    445.86x = 216,686.21
  5. Step 5: Solve for x
    x = 216,686.21/445.86
  6. Step 6: Final answer
    x = 485.99

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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.