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Finding the Fourth Proportional to 214.42, 296.16 and 173.12

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Solution

The fourth proportional to 214.42, 296.16 and 173.12 is: 239.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.42 : 296.16 = 173.12 : x
  2. Step 2: Convert to fraction form
    214.42/296.16 = 173.12/x
  3. Step 3: Cross multiply
    214.42x = 296.16 × 173.12
  4. Step 4: Simplify right side
    214.42x = 51,271.22
  5. Step 5: Solve for x
    x = 51,271.22/214.42
  6. Step 6: Final answer
    x = 239.12

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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.