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Finding the Fourth Proportional to 259.21, 387.19 and 257.86

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Solution

The fourth proportional to 259.21, 387.19 and 257.86 is: 385.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.21 : 387.19 = 257.86 : x
  2. Step 2: Convert to fraction form
    259.21/387.19 = 257.86/x
  3. Step 3: Cross multiply
    259.21x = 387.19 × 257.86
  4. Step 4: Simplify right side
    259.21x = 99,840.81
  5. Step 5: Solve for x
    x = 99,840.81/259.21
  6. Step 6: Final answer
    x = 385.17

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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.