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Finding the Fourth Proportional to 272.23, 375.40 and 210.07

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Solution

The fourth proportional to 272.23, 375.40 and 210.07 is: 289.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.23 : 375.40 = 210.07 : x
  2. Step 2: Convert to fraction form
    272.23/375.40 = 210.07/x
  3. Step 3: Cross multiply
    272.23x = 375.40 × 210.07
  4. Step 4: Simplify right side
    272.23x = 78,859.23
  5. Step 5: Solve for x
    x = 78,859.23/272.23
  6. Step 6: Final answer
    x = 289.68

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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.