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Finding the Fourth Proportional to 259.71, 387.93 and 258.36

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Solution

The fourth proportional to 259.71, 387.93 and 258.36 is: 385.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.71 : 387.93 = 258.36 : x
  2. Step 2: Convert to fraction form
    259.71/387.93 = 258.36/x
  3. Step 3: Cross multiply
    259.71x = 387.93 × 258.36
  4. Step 4: Simplify right side
    259.71x = 100,225.59
  5. Step 5: Solve for x
    x = 100,225.59/259.71
  6. Step 6: Final answer
    x = 385.91

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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.