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Finding the Fourth Proportional to 229.79, 342.30 and 215.84

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Solution

The fourth proportional to 229.79, 342.30 and 215.84 is: 321.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.79 : 342.30 = 215.84 : x
  2. Step 2: Convert to fraction form
    229.79/342.30 = 215.84/x
  3. Step 3: Cross multiply
    229.79x = 342.30 × 215.84
  4. Step 4: Simplify right side
    229.79x = 73,880.32
  5. Step 5: Solve for x
    x = 73,880.32/229.79
  6. Step 6: Final answer
    x = 321.52

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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.