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Finding the Fourth Proportional to 334.91, 502.64 and 172.64

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Solution

The fourth proportional to 334.91, 502.64 and 172.64 is: 259.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.91 : 502.64 = 172.64 : x
  2. Step 2: Convert to fraction form
    334.91/502.64 = 172.64/x
  3. Step 3: Cross multiply
    334.91x = 502.64 × 172.64
  4. Step 4: Simplify right side
    334.91x = 86,772.39
  5. Step 5: Solve for x
    x = 86,772.39/334.91
  6. Step 6: Final answer
    x = 259.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.