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Finding the Fourth Proportional to 259.14, 385.74 and 257.76

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Solution

The fourth proportional to 259.14, 385.74 and 257.76 is: 383.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.14 : 385.74 = 257.76 : x
  2. Step 2: Convert to fraction form
    259.14/385.74 = 257.76/x
  3. Step 3: Cross multiply
    259.14x = 385.74 × 257.76
  4. Step 4: Simplify right side
    259.14x = 99,428.34
  5. Step 5: Solve for x
    x = 99,428.34/259.14
  6. Step 6: Final answer
    x = 383.69

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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.