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Finding the Fourth Proportional to 338.01, 506.75 and 145.50

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Solution

The fourth proportional to 338.01, 506.75 and 145.50 is: 218.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.01 : 506.75 = 145.50 : x
  2. Step 2: Convert to fraction form
    338.01/506.75 = 145.50/x
  3. Step 3: Cross multiply
    338.01x = 506.75 × 145.50
  4. Step 4: Simplify right side
    338.01x = 73,731.40
  5. Step 5: Solve for x
    x = 73,731.40/338.01
  6. Step 6: Final answer
    x = 218.13

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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.