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Finding the Fourth Proportional to 117.53, 176.08 and 102.21

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Solution

The fourth proportional to 117.53, 176.08 and 102.21 is: 153.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.53 : 176.08 = 102.21 : x
  2. Step 2: Convert to fraction form
    117.53/176.08 = 102.21/x
  3. Step 3: Cross multiply
    117.53x = 176.08 × 102.21
  4. Step 4: Simplify right side
    117.53x = 17,997.14
  5. Step 5: Solve for x
    x = 17,997.14/117.53
  6. Step 6: Final answer
    x = 153.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.