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Finding the Fourth Proportional to 230.03, 345.34 and 210.92

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Solution

The fourth proportional to 230.03, 345.34 and 210.92 is: 316.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.03 : 345.34 = 210.92 : x
  2. Step 2: Convert to fraction form
    230.03/345.34 = 210.92/x
  3. Step 3: Cross multiply
    230.03x = 345.34 × 210.92
  4. Step 4: Simplify right side
    230.03x = 72,839.11
  5. Step 5: Solve for x
    x = 72,839.11/230.03
  6. Step 6: Final answer
    x = 316.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.