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Finding the Fourth Proportional to 446.47, 615.16 and 416.36

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Solution

The fourth proportional to 446.47, 615.16 and 416.36 is: 573.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.47 : 615.16 = 416.36 : x
  2. Step 2: Convert to fraction form
    446.47/615.16 = 416.36/x
  3. Step 3: Cross multiply
    446.47x = 615.16 × 416.36
  4. Step 4: Simplify right side
    446.47x = 256,128.02
  5. Step 5: Solve for x
    x = 256,128.02/446.47
  6. Step 6: Final answer
    x = 573.67

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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.