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Finding the Fourth Proportional to 229.64, 343.04 and 178.16

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Solution

The fourth proportional to 229.64, 343.04 and 178.16 is: 266.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.64 : 343.04 = 178.16 : x
  2. Step 2: Convert to fraction form
    229.64/343.04 = 178.16/x
  3. Step 3: Cross multiply
    229.64x = 343.04 × 178.16
  4. Step 4: Simplify right side
    229.64x = 61,116.01
  5. Step 5: Solve for x
    x = 61,116.01/229.64
  6. Step 6: Final answer
    x = 266.14

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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.