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Finding the Fourth Proportional to 214.99, 296.91 and 178.40

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Solution

The fourth proportional to 214.99, 296.91 and 178.40 is: 246.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.99 : 296.91 = 178.40 : x
  2. Step 2: Convert to fraction form
    214.99/296.91 = 178.40/x
  3. Step 3: Cross multiply
    214.99x = 296.91 × 178.40
  4. Step 4: Simplify right side
    214.99x = 52,969.49
  5. Step 5: Solve for x
    x = 52,969.49/214.99
  6. Step 6: Final answer
    x = 246.38

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Why These Related Problems?

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