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Finding the Fourth Proportional to 215.25, 320.37 and 210.12

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Solution

The fourth proportional to 215.25, 320.37 and 210.12 is: 312.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.25 : 320.37 = 210.12 : x
  2. Step 2: Convert to fraction form
    215.25/320.37 = 210.12/x
  3. Step 3: Cross multiply
    215.25x = 320.37 × 210.12
  4. Step 4: Simplify right side
    215.25x = 67,316.14
  5. Step 5: Solve for x
    x = 67,316.14/215.25
  6. Step 6: Final answer
    x = 312.73

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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.