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Finding the Fourth Proportional to 402.61, 555.42 and 262.73

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Solution

The fourth proportional to 402.61, 555.42 and 262.73 is: 362.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.61 : 555.42 = 262.73 : x
  2. Step 2: Convert to fraction form
    402.61/555.42 = 262.73/x
  3. Step 3: Cross multiply
    402.61x = 555.42 × 262.73
  4. Step 4: Simplify right side
    402.61x = 145,925.50
  5. Step 5: Solve for x
    x = 145,925.50/402.61
  6. Step 6: Final answer
    x = 362.45

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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.