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Finding the Fourth Proportional to 368.10, 506.36 and 307.96

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Solution

The fourth proportional to 368.10, 506.36 and 307.96 is: 423.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.10 : 506.36 = 307.96 : x
  2. Step 2: Convert to fraction form
    368.10/506.36 = 307.96/x
  3. Step 3: Cross multiply
    368.10x = 506.36 × 307.96
  4. Step 4: Simplify right side
    368.10x = 155,938.63
  5. Step 5: Solve for x
    x = 155,938.63/368.10
  6. Step 6: Final answer
    x = 423.63

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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.