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Finding the Fourth Proportional to 286.24, 430.86 and 244.48

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Solution

The fourth proportional to 286.24, 430.86 and 244.48 is: 368.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.24 : 430.86 = 244.48 : x
  2. Step 2: Convert to fraction form
    286.24/430.86 = 244.48/x
  3. Step 3: Cross multiply
    286.24x = 430.86 × 244.48
  4. Step 4: Simplify right side
    286.24x = 105,336.65
  5. Step 5: Solve for x
    x = 105,336.65/286.24
  6. Step 6: Final answer
    x = 368.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.