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Finding the Fourth Proportional to 230.49, 347.58 and 213.62

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Solution

The fourth proportional to 230.49, 347.58 and 213.62 is: 322.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.49 : 347.58 = 213.62 : x
  2. Step 2: Convert to fraction form
    230.49/347.58 = 213.62/x
  3. Step 3: Cross multiply
    230.49x = 347.58 × 213.62
  4. Step 4: Simplify right side
    230.49x = 74,248.30
  5. Step 5: Solve for x
    x = 74,248.30/230.49
  6. Step 6: Final answer
    x = 322.13

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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.