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Finding the Fourth Proportional to 338.51, 466.91 and 207.58

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Solution

The fourth proportional to 338.51, 466.91 and 207.58 is: 286.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.51 : 466.91 = 207.58 : x
  2. Step 2: Convert to fraction form
    338.51/466.91 = 207.58/x
  3. Step 3: Cross multiply
    338.51x = 466.91 × 207.58
  4. Step 4: Simplify right side
    338.51x = 96,921.18
  5. Step 5: Solve for x
    x = 96,921.18/338.51
  6. Step 6: Final answer
    x = 286.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.