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Finding the Fourth Proportional to 402.33, 555.49 and 253.02

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Solution

The fourth proportional to 402.33, 555.49 and 253.02 is: 349.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.33 : 555.49 = 253.02 : x
  2. Step 2: Convert to fraction form
    402.33/555.49 = 253.02/x
  3. Step 3: Cross multiply
    402.33x = 555.49 × 253.02
  4. Step 4: Simplify right side
    402.33x = 140,550.08
  5. Step 5: Solve for x
    x = 140,550.08/402.33
  6. Step 6: Final answer
    x = 349.34

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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.