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Finding the Fourth Proportional to 232.10, 319.90 and 210.10

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Solution

The fourth proportional to 232.10, 319.90 and 210.10 is: 289.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.10 : 319.90 = 210.10 : x
  2. Step 2: Convert to fraction form
    232.10/319.90 = 210.10/x
  3. Step 3: Cross multiply
    232.10x = 319.90 × 210.10
  4. Step 4: Simplify right side
    232.10x = 67,210.99
  5. Step 5: Solve for x
    x = 67,210.99/232.10
  6. Step 6: Final answer
    x = 289.58

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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.