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Finding the Fourth Proportional to 176.23, 243.20 and 102.57

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Solution

The fourth proportional to 176.23, 243.20 and 102.57 is: 141.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.23 : 243.20 = 102.57 : x
  2. Step 2: Convert to fraction form
    176.23/243.20 = 102.57/x
  3. Step 3: Cross multiply
    176.23x = 243.20 × 102.57
  4. Step 4: Simplify right side
    176.23x = 24,943.81
  5. Step 5: Solve for x
    x = 24,943.81/176.23
  6. Step 6: Final answer
    x = 141.54

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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.