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Finding the Fourth Proportional to 308.35, 424.47 and 234.64

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Solution

The fourth proportional to 308.35, 424.47 and 234.64 is: 323.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.35 : 424.47 = 234.64 : x
  2. Step 2: Convert to fraction form
    308.35/424.47 = 234.64/x
  3. Step 3: Cross multiply
    308.35x = 424.47 × 234.64
  4. Step 4: Simplify right side
    308.35x = 99,597.64
  5. Step 5: Solve for x
    x = 99,597.64/308.35
  6. Step 6: Final answer
    x = 323.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.