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Finding the Fourth Proportional to 338.96, 507.36 and 235.76

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Solution

The fourth proportional to 338.96, 507.36 and 235.76 is: 352.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.96 : 507.36 = 235.76 : x
  2. Step 2: Convert to fraction form
    338.96/507.36 = 235.76/x
  3. Step 3: Cross multiply
    338.96x = 507.36 × 235.76
  4. Step 4: Simplify right side
    338.96x = 119,615.19
  5. Step 5: Solve for x
    x = 119,615.19/338.96
  6. Step 6: Final answer
    x = 352.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.