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Finding the Fourth Proportional to 259.80, 387.30 and 241.44

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Solution

The fourth proportional to 259.80, 387.30 and 241.44 is: 359.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.80 : 387.30 = 241.44 : x
  2. Step 2: Convert to fraction form
    259.80/387.30 = 241.44/x
  3. Step 3: Cross multiply
    259.80x = 387.30 × 241.44
  4. Step 4: Simplify right side
    259.80x = 93,509.71
  5. Step 5: Solve for x
    x = 93,509.71/259.80
  6. Step 6: Final answer
    x = 359.93

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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.