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Finding the Fourth Proportional to 146.88, 202.91 and 117.72

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Solution

The fourth proportional to 146.88, 202.91 and 117.72 is: 162.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.88 : 202.91 = 117.72 : x
  2. Step 2: Convert to fraction form
    146.88/202.91 = 117.72/x
  3. Step 3: Cross multiply
    146.88x = 202.91 × 117.72
  4. Step 4: Simplify right side
    146.88x = 23,885.98
  5. Step 5: Solve for x
    x = 23,885.98/146.88
  6. Step 6: Final answer
    x = 162.62

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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.