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Finding the Fourth Proportional to 262.99, 360.29 and 253.13

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Solution

The fourth proportional to 262.99, 360.29 and 253.13 is: 346.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.99 : 360.29 = 253.13 : x
  2. Step 2: Convert to fraction form
    262.99/360.29 = 253.13/x
  3. Step 3: Cross multiply
    262.99x = 360.29 × 253.13
  4. Step 4: Simplify right side
    262.99x = 91,202.89
  5. Step 5: Solve for x
    x = 91,202.89/262.99
  6. Step 6: Final answer
    x = 346.80

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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.