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Finding the Fourth Proportional to 214.42, 322.87 and 157.03

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Solution

The fourth proportional to 214.42, 322.87 and 157.03 is: 236.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.42 : 322.87 = 157.03 : x
  2. Step 2: Convert to fraction form
    214.42/322.87 = 157.03/x
  3. Step 3: Cross multiply
    214.42x = 322.87 × 157.03
  4. Step 4: Simplify right side
    214.42x = 50,700.28
  5. Step 5: Solve for x
    x = 50,700.28/214.42
  6. Step 6: Final answer
    x = 236.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.