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Finding the Fourth Proportional to 420.69, 632.18 and 225.83

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Solution

The fourth proportional to 420.69, 632.18 and 225.83 is: 339.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.69 : 632.18 = 225.83 : x
  2. Step 2: Convert to fraction form
    420.69/632.18 = 225.83/x
  3. Step 3: Cross multiply
    420.69x = 632.18 × 225.83
  4. Step 4: Simplify right side
    420.69x = 142,760.92
  5. Step 5: Solve for x
    x = 142,760.92/420.69
  6. Step 6: Final answer
    x = 339.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.