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Finding the Fourth Proportional to 317.32, 437.78 and 186.28

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Solution

The fourth proportional to 317.32, 437.78 and 186.28 is: 257.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.32 : 437.78 = 186.28 : x
  2. Step 2: Convert to fraction form
    317.32/437.78 = 186.28/x
  3. Step 3: Cross multiply
    317.32x = 437.78 × 186.28
  4. Step 4: Simplify right side
    317.32x = 81,549.66
  5. Step 5: Solve for x
    x = 81,549.66/317.32
  6. Step 6: Final answer
    x = 257.00

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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.