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Finding the Fourth Proportional to 416.49, 575.15 and 318.89

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Solution

The fourth proportional to 416.49, 575.15 and 318.89 is: 440.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.49 : 575.15 = 318.89 : x
  2. Step 2: Convert to fraction form
    416.49/575.15 = 318.89/x
  3. Step 3: Cross multiply
    416.49x = 575.15 × 318.89
  4. Step 4: Simplify right side
    416.49x = 183,405.11
  5. Step 5: Solve for x
    x = 183,405.11/416.49
  6. Step 6: Final answer
    x = 440.36

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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.