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Finding the Fourth Proportional to 402.85, 555.64 and 253.33

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Solution

The fourth proportional to 402.85, 555.64 and 253.33 is: 349.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.85 : 555.64 = 253.33 : x
  2. Step 2: Convert to fraction form
    402.85/555.64 = 253.33/x
  3. Step 3: Cross multiply
    402.85x = 555.64 × 253.33
  4. Step 4: Simplify right side
    402.85x = 140,759.78
  5. Step 5: Solve for x
    x = 140,759.78/402.85
  6. Step 6: Final answer
    x = 349.41

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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.