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Finding the Fourth Proportional to 336.75, 505.12 and 215.10

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Solution

The fourth proportional to 336.75, 505.12 and 215.10 is: 322.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.75 : 505.12 = 215.10 : x
  2. Step 2: Convert to fraction form
    336.75/505.12 = 215.10/x
  3. Step 3: Cross multiply
    336.75x = 505.12 × 215.10
  4. Step 4: Simplify right side
    336.75x = 108,648.79
  5. Step 5: Solve for x
    x = 108,648.79/336.75
  6. Step 6: Final answer
    x = 322.64

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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.