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Finding the Fourth Proportional to 338.51, 465.90 and 240.10

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Solution

The fourth proportional to 338.51, 465.90 and 240.10 is: 330.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.51 : 465.90 = 240.10 : x
  2. Step 2: Convert to fraction form
    338.51/465.90 = 240.10/x
  3. Step 3: Cross multiply
    338.51x = 465.90 × 240.10
  4. Step 4: Simplify right side
    338.51x = 111,862.59
  5. Step 5: Solve for x
    x = 111,862.59/338.51
  6. Step 6: Final answer
    x = 330.46

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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.