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Finding the Fourth Proportional to 262.53, 359.88 and 257.87

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Solution

The fourth proportional to 262.53, 359.88 and 257.87 is: 353.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.53 : 359.88 = 257.87 : x
  2. Step 2: Convert to fraction form
    262.53/359.88 = 257.87/x
  3. Step 3: Cross multiply
    262.53x = 359.88 × 257.87
  4. Step 4: Simplify right side
    262.53x = 92,803.16
  5. Step 5: Solve for x
    x = 92,803.16/262.53
  6. Step 6: Final answer
    x = 353.50

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.