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Finding the Fourth Proportional to 414.18, 570.24 and 386.24

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Solution

The fourth proportional to 414.18, 570.24 and 386.24 is: 531.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.18 : 570.24 = 386.24 : x
  2. Step 2: Convert to fraction form
    414.18/570.24 = 386.24/x
  3. Step 3: Cross multiply
    414.18x = 570.24 × 386.24
  4. Step 4: Simplify right side
    414.18x = 220,246.65
  5. Step 5: Solve for x
    x = 220,246.65/414.18
  6. Step 6: Final answer
    x = 531.77

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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.