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Finding the Fourth Proportional to 869.23, 1,303.72 and 219.93

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Solution

The fourth proportional to 869.23, 1,303.72 and 219.93 is: 329.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.23 : 1,303.72 = 219.93 : x
  2. Step 2: Convert to fraction form
    869.23/1,303.72 = 219.93/x
  3. Step 3: Cross multiply
    869.23x = 1,303.72 × 219.93
  4. Step 4: Simplify right side
    869.23x = 286,727.14
  5. Step 5: Solve for x
    x = 286,727.14/869.23
  6. Step 6: Final answer
    x = 329.86

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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.