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Finding the Fourth Proportional to 336.76, 505.10 and 105.64

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Solution

The fourth proportional to 336.76, 505.10 and 105.64 is: 158.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.76 : 505.10 = 105.64 : x
  2. Step 2: Convert to fraction form
    336.76/505.10 = 105.64/x
  3. Step 3: Cross multiply
    336.76x = 505.10 × 105.64
  4. Step 4: Simplify right side
    336.76x = 53,358.76
  5. Step 5: Solve for x
    x = 53,358.76/336.76
  6. Step 6: Final answer
    x = 158.45

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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.