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Finding the Fourth Proportional to 446.11, 615.62 and 313.53

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Solution

The fourth proportional to 446.11, 615.62 and 313.53 is: 432.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.11 : 615.62 = 313.53 : x
  2. Step 2: Convert to fraction form
    446.11/615.62 = 313.53/x
  3. Step 3: Cross multiply
    446.11x = 615.62 × 313.53
  4. Step 4: Simplify right side
    446.11x = 193,011.46
  5. Step 5: Solve for x
    x = 193,011.46/446.11
  6. Step 6: Final answer
    x = 432.65

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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.