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Finding the Fourth Proportional to 232.22, 318.70 and 210.35

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Solution

The fourth proportional to 232.22, 318.70 and 210.35 is: 288.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.22 : 318.70 = 210.35 : x
  2. Step 2: Convert to fraction form
    232.22/318.70 = 210.35/x
  3. Step 3: Cross multiply
    232.22x = 318.70 × 210.35
  4. Step 4: Simplify right side
    232.22x = 67,038.42
  5. Step 5: Solve for x
    x = 67,038.42/232.22
  6. Step 6: Final answer
    x = 288.68

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.