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Finding the Fourth Proportional to 446.16, 615.27 and 352.77

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Solution

The fourth proportional to 446.16, 615.27 and 352.77 is: 486.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.16 : 615.27 = 352.77 : x
  2. Step 2: Convert to fraction form
    446.16/615.27 = 352.77/x
  3. Step 3: Cross multiply
    446.16x = 615.27 × 352.77
  4. Step 4: Simplify right side
    446.16x = 217,048.80
  5. Step 5: Solve for x
    x = 217,048.80/446.16
  6. Step 6: Final answer
    x = 486.48

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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.