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Finding the Fourth Proportional to 416.47, 574.51 and 318.05

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Solution

The fourth proportional to 416.47, 574.51 and 318.05 is: 438.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.47 : 574.51 = 318.05 : x
  2. Step 2: Convert to fraction form
    416.47/574.51 = 318.05/x
  3. Step 3: Cross multiply
    416.47x = 574.51 × 318.05
  4. Step 4: Simplify right side
    416.47x = 182,723.55
  5. Step 5: Solve for x
    x = 182,723.55/416.47
  6. Step 6: Final answer
    x = 438.75

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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.