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Finding the Fourth Proportional to 365.58, 505.26 and 316.98

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Solution

The fourth proportional to 365.58, 505.26 and 316.98 is: 438.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.58 : 505.26 = 316.98 : x
  2. Step 2: Convert to fraction form
    365.58/505.26 = 316.98/x
  3. Step 3: Cross multiply
    365.58x = 505.26 × 316.98
  4. Step 4: Simplify right side
    365.58x = 160,157.31
  5. Step 5: Solve for x
    x = 160,157.31/365.58
  6. Step 6: Final answer
    x = 438.09

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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.