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Finding the Fourth Proportional to 255.47, 352.73 and 176.74

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Solution

The fourth proportional to 255.47, 352.73 and 176.74 is: 244.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.47 : 352.73 = 176.74 : x
  2. Step 2: Convert to fraction form
    255.47/352.73 = 176.74/x
  3. Step 3: Cross multiply
    255.47x = 352.73 × 176.74
  4. Step 4: Simplify right side
    255.47x = 62,341.06
  5. Step 5: Solve for x
    x = 62,341.06/255.47
  6. Step 6: Final answer
    x = 244.03

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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.