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Finding the Fourth Proportional to 148.13, 204.40 and 82.62

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Solution

The fourth proportional to 148.13, 204.40 and 82.62 is: 114.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.13 : 204.40 = 82.62 : x
  2. Step 2: Convert to fraction form
    148.13/204.40 = 82.62/x
  3. Step 3: Cross multiply
    148.13x = 204.40 × 82.62
  4. Step 4: Simplify right side
    148.13x = 16,886.81
  5. Step 5: Solve for x
    x = 16,886.81/148.13
  6. Step 6: Final answer
    x = 114.00

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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.