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Finding the Fourth Proportional to 230.70, 347.76 and 215.04

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Solution

The fourth proportional to 230.70, 347.76 and 215.04 is: 324.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.70 : 347.76 = 215.04 : x
  2. Step 2: Convert to fraction form
    230.70/347.76 = 215.04/x
  3. Step 3: Cross multiply
    230.70x = 347.76 × 215.04
  4. Step 4: Simplify right side
    230.70x = 74,782.31
  5. Step 5: Solve for x
    x = 74,782.31/230.70
  6. Step 6: Final answer
    x = 324.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.