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Finding the Fourth Proportional to 259.86, 387.93 and 257.30

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Solution

The fourth proportional to 259.86, 387.93 and 257.30 is: 384.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.86 : 387.93 = 257.30 : x
  2. Step 2: Convert to fraction form
    259.86/387.93 = 257.30/x
  3. Step 3: Cross multiply
    259.86x = 387.93 × 257.30
  4. Step 4: Simplify right side
    259.86x = 99,814.39
  5. Step 5: Solve for x
    x = 99,814.39/259.86
  6. Step 6: Final answer
    x = 384.11

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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.