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Finding the Fourth Proportional to 330.51, 456.01 and 206.23

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Solution

The fourth proportional to 330.51, 456.01 and 206.23 is: 284.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.51 : 456.01 = 206.23 : x
  2. Step 2: Convert to fraction form
    330.51/456.01 = 206.23/x
  3. Step 3: Cross multiply
    330.51x = 456.01 × 206.23
  4. Step 4: Simplify right side
    330.51x = 94,041.18
  5. Step 5: Solve for x
    x = 94,041.18/330.51
  6. Step 6: Final answer
    x = 284.54

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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.