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Finding the Fourth Proportional to 214.88, 322.16 and 141.77

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Solution

The fourth proportional to 214.88, 322.16 and 141.77 is: 212.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.88 : 322.16 = 141.77 : x
  2. Step 2: Convert to fraction form
    214.88/322.16 = 141.77/x
  3. Step 3: Cross multiply
    214.88x = 322.16 × 141.77
  4. Step 4: Simplify right side
    214.88x = 45,670.30
  5. Step 5: Solve for x
    x = 45,670.30/214.88
  6. Step 6: Final answer
    x = 212.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.