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Finding the Fourth Proportional to 214.49, 296.32 and 140.98

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Solution

The fourth proportional to 214.49, 296.32 and 140.98 is: 194.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.49 : 296.32 = 140.98 : x
  2. Step 2: Convert to fraction form
    214.49/296.32 = 140.98/x
  3. Step 3: Cross multiply
    214.49x = 296.32 × 140.98
  4. Step 4: Simplify right side
    214.49x = 41,775.19
  5. Step 5: Solve for x
    x = 41,775.19/214.49
  6. Step 6: Final answer
    x = 194.77

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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.