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Finding the Fourth Proportional to 255.61, 353.02 and 177.04

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Solution

The fourth proportional to 255.61, 353.02 and 177.04 is: 244.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.61 : 353.02 = 177.04 : x
  2. Step 2: Convert to fraction form
    255.61/353.02 = 177.04/x
  3. Step 3: Cross multiply
    255.61x = 353.02 × 177.04
  4. Step 4: Simplify right side
    255.61x = 62,497.34
  5. Step 5: Solve for x
    x = 62,497.34/255.61
  6. Step 6: Final answer
    x = 244.51

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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.