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Finding the Fourth Proportional to 175.84, 242.13 and 153.88

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Solution

The fourth proportional to 175.84, 242.13 and 153.88 is: 211.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.84 : 242.13 = 153.88 : x
  2. Step 2: Convert to fraction form
    175.84/242.13 = 153.88/x
  3. Step 3: Cross multiply
    175.84x = 242.13 × 153.88
  4. Step 4: Simplify right side
    175.84x = 37,258.96
  5. Step 5: Solve for x
    x = 37,258.96/175.84
  6. Step 6: Final answer
    x = 211.89

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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.