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Finding the Fourth Proportional to 214.32, 319.72 and 207.56

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Solution

The fourth proportional to 214.32, 319.72 and 207.56 is: 309.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.32 : 319.72 = 207.56 : x
  2. Step 2: Convert to fraction form
    214.32/319.72 = 207.56/x
  3. Step 3: Cross multiply
    214.32x = 319.72 × 207.56
  4. Step 4: Simplify right side
    214.32x = 66,361.08
  5. Step 5: Solve for x
    x = 66,361.08/214.32
  6. Step 6: Final answer
    x = 309.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.