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Finding the Fourth Proportional to 402.72, 555.76 and 262.92

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Solution

The fourth proportional to 402.72, 555.76 and 262.92 is: 362.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.72 : 555.76 = 262.92 : x
  2. Step 2: Convert to fraction form
    402.72/555.76 = 262.92/x
  3. Step 3: Cross multiply
    402.72x = 555.76 × 262.92
  4. Step 4: Simplify right side
    402.72x = 146,122.83
  5. Step 5: Solve for x
    x = 146,122.83/402.72
  6. Step 6: Final answer
    x = 362.84

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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.