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Finding the Fourth Proportional to 232.66, 347.29 and 215.74

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Solution

The fourth proportional to 232.66, 347.29 and 215.74 is: 322.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.66 : 347.29 = 215.74 : x
  2. Step 2: Convert to fraction form
    232.66/347.29 = 215.74/x
  3. Step 3: Cross multiply
    232.66x = 347.29 × 215.74
  4. Step 4: Simplify right side
    232.66x = 74,924.34
  5. Step 5: Solve for x
    x = 74,924.34/232.66
  6. Step 6: Final answer
    x = 322.03

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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.