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Finding the Fourth Proportional to 368.39, 505.91 and 315.93

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Solution

The fourth proportional to 368.39, 505.91 and 315.93 is: 433.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.39 : 505.91 = 315.93 : x
  2. Step 2: Convert to fraction form
    368.39/505.91 = 315.93/x
  3. Step 3: Cross multiply
    368.39x = 505.91 × 315.93
  4. Step 4: Simplify right side
    368.39x = 159,830.57
  5. Step 5: Solve for x
    x = 159,830.57/368.39
  6. Step 6: Final answer
    x = 433.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.