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Finding the Fourth Proportional to 231.66, 345.80 and 204.32

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Solution

The fourth proportional to 231.66, 345.80 and 204.32 is: 305.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.66 : 345.80 = 204.32 : x
  2. Step 2: Convert to fraction form
    231.66/345.80 = 204.32/x
  3. Step 3: Cross multiply
    231.66x = 345.80 × 204.32
  4. Step 4: Simplify right side
    231.66x = 70,655.23
  5. Step 5: Solve for x
    x = 70,655.23/231.66
  6. Step 6: Final answer
    x = 305.00

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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.