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Finding the Fourth Proportional to 262.17, 390.39 and 259.10

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Solution

The fourth proportional to 262.17, 390.39 and 259.10 is: 385.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.17 : 390.39 = 259.10 : x
  2. Step 2: Convert to fraction form
    262.17/390.39 = 259.10/x
  3. Step 3: Cross multiply
    262.17x = 390.39 × 259.10
  4. Step 4: Simplify right side
    262.17x = 101,148.59
  5. Step 5: Solve for x
    x = 101,148.59/262.17
  6. Step 6: Final answer
    x = 385.81

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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.