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Finding the Fourth Proportional to 416.16, 626.72 and 362.72

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Solution

The fourth proportional to 416.16, 626.72 and 362.72 is: 546.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.16 : 626.72 = 362.72 : x
  2. Step 2: Convert to fraction form
    416.16/626.72 = 362.72/x
  3. Step 3: Cross multiply
    416.16x = 626.72 × 362.72
  4. Step 4: Simplify right side
    416.16x = 227,323.88
  5. Step 5: Solve for x
    x = 227,323.88/416.16
  6. Step 6: Final answer
    x = 546.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.