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Finding the Fourth Proportional to 176.96, 242.48 and 175.28

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Solution

The fourth proportional to 176.96, 242.48 and 175.28 is: 240.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.96 : 242.48 = 175.28 : x
  2. Step 2: Convert to fraction form
    176.96/242.48 = 175.28/x
  3. Step 3: Cross multiply
    176.96x = 242.48 × 175.28
  4. Step 4: Simplify right side
    176.96x = 42,501.89
  5. Step 5: Solve for x
    x = 42,501.89/176.96
  6. Step 6: Final answer
    x = 240.18

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.