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Finding the Fourth Proportional to 240.30, 358.61 and 204.30

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Solution

The fourth proportional to 240.30, 358.61 and 204.30 is: 304.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.30 : 358.61 = 204.30 : x
  2. Step 2: Convert to fraction form
    240.30/358.61 = 204.30/x
  3. Step 3: Cross multiply
    240.30x = 358.61 × 204.30
  4. Step 4: Simplify right side
    240.30x = 73,263.00
  5. Step 5: Solve for x
    x = 73,263.00/240.30
  6. Step 6: Final answer
    x = 304.88

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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.