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Finding the Fourth Proportional to 336, 502.06 and 266.80

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Solution

The fourth proportional to 336, 502.06 and 266.80 is: 398.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    336 : 502.06 = 266.80 : x
  2. Step 2: Convert to fraction form
    336/502.06 = 266.80/x
  3. Step 3: Cross multiply
    336x = 502.06 × 266.80
  4. Step 4: Simplify right side
    336x = 133,949.61
  5. Step 5: Solve for x
    x = 133,949.61/336
  6. Step 6: Final answer
    x = 398.66

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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.