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Finding the Fourth Proportional to 338.55, 507.80 and 165.18

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Solution

The fourth proportional to 338.55, 507.80 and 165.18 is: 247.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.55 : 507.80 = 165.18 : x
  2. Step 2: Convert to fraction form
    338.55/507.80 = 165.18/x
  3. Step 3: Cross multiply
    338.55x = 507.80 × 165.18
  4. Step 4: Simplify right side
    338.55x = 83,878.40
  5. Step 5: Solve for x
    x = 83,878.40/338.55
  6. Step 6: Final answer
    x = 247.76

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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.