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Finding the Fourth Proportional to 214.80, 296.34 and 141.16

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Solution

The fourth proportional to 214.80, 296.34 and 141.16 is: 194.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.80 : 296.34 = 141.16 : x
  2. Step 2: Convert to fraction form
    214.80/296.34 = 141.16/x
  3. Step 3: Cross multiply
    214.80x = 296.34 × 141.16
  4. Step 4: Simplify right side
    214.80x = 41,831.35
  5. Step 5: Solve for x
    x = 41,831.35/214.80
  6. Step 6: Final answer
    x = 194.75

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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.