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Finding the Fourth Proportional to 365.68, 505.73 and 315.93

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Solution

The fourth proportional to 365.68, 505.73 and 315.93 is: 436.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.68 : 505.73 = 315.93 : x
  2. Step 2: Convert to fraction form
    365.68/505.73 = 315.93/x
  3. Step 3: Cross multiply
    365.68x = 505.73 × 315.93
  4. Step 4: Simplify right side
    365.68x = 159,777.97
  5. Step 5: Solve for x
    x = 159,777.97/365.68
  6. Step 6: Final answer
    x = 436.93

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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.