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Finding the Fourth Proportional to 231.64, 345.77 and 214.51

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Solution

The fourth proportional to 231.64, 345.77 and 214.51 is: 320.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.64 : 345.77 = 214.51 : x
  2. Step 2: Convert to fraction form
    231.64/345.77 = 214.51/x
  3. Step 3: Cross multiply
    231.64x = 345.77 × 214.51
  4. Step 4: Simplify right side
    231.64x = 74,171.12
  5. Step 5: Solve for x
    x = 74,171.12/231.64
  6. Step 6: Final answer
    x = 320.20

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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.