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Finding the Fourth Proportional to 262.18, 390.38 and 260.37

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Solution

The fourth proportional to 262.18, 390.38 and 260.37 is: 387.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.18 : 390.38 = 260.37 : x
  2. Step 2: Convert to fraction form
    262.18/390.38 = 260.37/x
  3. Step 3: Cross multiply
    262.18x = 390.38 × 260.37
  4. Step 4: Simplify right side
    262.18x = 101,643.24
  5. Step 5: Solve for x
    x = 101,643.24/262.18
  6. Step 6: Final answer
    x = 387.68

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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.