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Finding the Fourth Proportional to 402.59, 555.59 and 262.80

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Solution

The fourth proportional to 402.59, 555.59 and 262.80 is: 362.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.59 : 555.59 = 262.80 : x
  2. Step 2: Convert to fraction form
    402.59/555.59 = 262.80/x
  3. Step 3: Cross multiply
    402.59x = 555.59 × 262.80
  4. Step 4: Simplify right side
    402.59x = 146,009.05
  5. Step 5: Solve for x
    x = 146,009.05/402.59
  6. Step 6: Final answer
    x = 362.67

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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.