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Finding the Fourth Proportional to 259.45, 387.14 and 257.93

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Solution

The fourth proportional to 259.45, 387.14 and 257.93 is: 384.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.45 : 387.14 = 257.93 : x
  2. Step 2: Convert to fraction form
    259.45/387.14 = 257.93/x
  3. Step 3: Cross multiply
    259.45x = 387.14 × 257.93
  4. Step 4: Simplify right side
    259.45x = 99,851.79
  5. Step 5: Solve for x
    x = 99,851.79/259.45
  6. Step 6: Final answer
    x = 384.86

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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.