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Finding the Fourth Proportional to 368.22, 507.96 and 269.76

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Solution

The fourth proportional to 368.22, 507.96 and 269.76 is: 372.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.22 : 507.96 = 269.76 : x
  2. Step 2: Convert to fraction form
    368.22/507.96 = 269.76/x
  3. Step 3: Cross multiply
    368.22x = 507.96 × 269.76
  4. Step 4: Simplify right side
    368.22x = 137,027.29
  5. Step 5: Solve for x
    x = 137,027.29/368.22
  6. Step 6: Final answer
    x = 372.13

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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.