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Finding the Fourth Proportional to 338.90, 508.61 and 156.31

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Solution

The fourth proportional to 338.90, 508.61 and 156.31 is: 234.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.90 : 508.61 = 156.31 : x
  2. Step 2: Convert to fraction form
    338.90/508.61 = 156.31/x
  3. Step 3: Cross multiply
    338.90x = 508.61 × 156.31
  4. Step 4: Simplify right side
    338.90x = 79,502.81
  5. Step 5: Solve for x
    x = 79,502.81/338.90
  6. Step 6: Final answer
    x = 234.59

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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.