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Finding the Fourth Proportional to 255.61, 352.83 and 176.86

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Solution

The fourth proportional to 255.61, 352.83 and 176.86 is: 244.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.61 : 352.83 = 176.86 : x
  2. Step 2: Convert to fraction form
    255.61/352.83 = 176.86/x
  3. Step 3: Cross multiply
    255.61x = 352.83 × 176.86
  4. Step 4: Simplify right side
    255.61x = 62,401.51
  5. Step 5: Solve for x
    x = 62,401.51/255.61
  6. Step 6: Final answer
    x = 244.13

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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.