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Finding the Fourth Proportional to 148.37, 204.51 and 117.21

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Solution

The fourth proportional to 148.37, 204.51 and 117.21 is: 161.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.37 : 204.51 = 117.21 : x
  2. Step 2: Convert to fraction form
    148.37/204.51 = 117.21/x
  3. Step 3: Cross multiply
    148.37x = 204.51 × 117.21
  4. Step 4: Simplify right side
    148.37x = 23,970.62
  5. Step 5: Solve for x
    x = 23,970.62/148.37
  6. Step 6: Final answer
    x = 161.57

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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.