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Finding the Fourth Proportional to 446.60, 615.65 and 313.40

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Solution

The fourth proportional to 446.60, 615.65 and 313.40 is: 432.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.60 : 615.65 = 313.40 : x
  2. Step 2: Convert to fraction form
    446.60/615.65 = 313.40/x
  3. Step 3: Cross multiply
    446.60x = 615.65 × 313.40
  4. Step 4: Simplify right side
    446.60x = 192,947.03
  5. Step 5: Solve for x
    x = 192,947.03/446.60
  6. Step 6: Final answer
    x = 432.03

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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.