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Finding the Fourth Proportional to 229.84, 342.29 and 228.64

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Solution

The fourth proportional to 229.84, 342.29 and 228.64 is: 340.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.84 : 342.29 = 228.64 : x
  2. Step 2: Convert to fraction form
    229.84/342.29 = 228.64/x
  3. Step 3: Cross multiply
    229.84x = 342.29 × 228.64
  4. Step 4: Simplify right side
    229.84x = 78,261.19
  5. Step 5: Solve for x
    x = 78,261.19/229.84
  6. Step 6: Final answer
    x = 340.50

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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.