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Finding the Fourth Proportional to 262.31, 392.99 and 123.24

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Solution

The fourth proportional to 262.31, 392.99 and 123.24 is: 184.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.31 : 392.99 = 123.24 : x
  2. Step 2: Convert to fraction form
    262.31/392.99 = 123.24/x
  3. Step 3: Cross multiply
    262.31x = 392.99 × 123.24
  4. Step 4: Simplify right side
    262.31x = 48,431.47
  5. Step 5: Solve for x
    x = 48,431.47/262.31
  6. Step 6: Final answer
    x = 184.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.