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Finding the Fourth Proportional to 264.99, 395.81 and 257.70

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Solution

The fourth proportional to 264.99, 395.81 and 257.70 is: 384.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.99 : 395.81 = 257.70 : x
  2. Step 2: Convert to fraction form
    264.99/395.81 = 257.70/x
  3. Step 3: Cross multiply
    264.99x = 395.81 × 257.70
  4. Step 4: Simplify right side
    264.99x = 101,998.95
  5. Step 5: Solve for x
    x = 101,998.95/264.99
  6. Step 6: Final answer
    x = 384.92

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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.