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Finding the Fourth Proportional to 262.08, 360.90 and 256.40

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Solution

The fourth proportional to 262.08, 360.90 and 256.40 is: 353.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.08 : 360.90 = 256.40 : x
  2. Step 2: Convert to fraction form
    262.08/360.90 = 256.40/x
  3. Step 3: Cross multiply
    262.08x = 360.90 × 256.40
  4. Step 4: Simplify right side
    262.08x = 92,534.76
  5. Step 5: Solve for x
    x = 92,534.76/262.08
  6. Step 6: Final answer
    x = 353.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.