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Finding the Fourth Proportional to 247.24, 368.83 and 210.94

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Solution

The fourth proportional to 247.24, 368.83 and 210.94 is: 314.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.24 : 368.83 = 210.94 : x
  2. Step 2: Convert to fraction form
    247.24/368.83 = 210.94/x
  3. Step 3: Cross multiply
    247.24x = 368.83 × 210.94
  4. Step 4: Simplify right side
    247.24x = 77,801.00
  5. Step 5: Solve for x
    x = 77,801.00/247.24
  6. Step 6: Final answer
    x = 314.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.