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Finding the Fourth Proportional to 240.24, 358.63 and 203.80

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Solution

The fourth proportional to 240.24, 358.63 and 203.80 is: 304.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.24 : 358.63 = 203.80 : x
  2. Step 2: Convert to fraction form
    240.24/358.63 = 203.80/x
  3. Step 3: Cross multiply
    240.24x = 358.63 × 203.80
  4. Step 4: Simplify right side
    240.24x = 73,088.79
  5. Step 5: Solve for x
    x = 73,088.79/240.24
  6. Step 6: Final answer
    x = 304.23

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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.