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Finding the Fourth Proportional to 402.68, 555.77 and 262.82

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Solution

The fourth proportional to 402.68, 555.77 and 262.82 is: 362.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.68 : 555.77 = 262.82 : x
  2. Step 2: Convert to fraction form
    402.68/555.77 = 262.82/x
  3. Step 3: Cross multiply
    402.68x = 555.77 × 262.82
  4. Step 4: Simplify right side
    402.68x = 146,065.35
  5. Step 5: Solve for x
    x = 146,065.35/402.68
  6. Step 6: Final answer
    x = 362.74

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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.