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Finding the Fourth Proportional to 317.97, 438.84 and 187.02

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Solution

The fourth proportional to 317.97, 438.84 and 187.02 is: 258.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.97 : 438.84 = 187.02 : x
  2. Step 2: Convert to fraction form
    317.97/438.84 = 187.02/x
  3. Step 3: Cross multiply
    317.97x = 438.84 × 187.02
  4. Step 4: Simplify right side
    317.97x = 82,071.86
  5. Step 5: Solve for x
    x = 82,071.86/317.97
  6. Step 6: Final answer
    x = 258.11

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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.