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Finding the Fourth Proportional to 262.64, 362.58 and 203.50

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Solution

The fourth proportional to 262.64, 362.58 and 203.50 is: 280.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.64 : 362.58 = 203.50 : x
  2. Step 2: Convert to fraction form
    262.64/362.58 = 203.50/x
  3. Step 3: Cross multiply
    262.64x = 362.58 × 203.50
  4. Step 4: Simplify right side
    262.64x = 73,782.20
  5. Step 5: Solve for x
    x = 73,782.20/262.64
  6. Step 6: Final answer
    x = 280.93

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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.