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Finding the Fourth Proportional to 83.90, 115.53 and 83.63

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Solution

The fourth proportional to 83.90, 115.53 and 83.63 is: 115.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.90 : 115.53 = 83.63 : x
  2. Step 2: Convert to fraction form
    83.90/115.53 = 83.63/x
  3. Step 3: Cross multiply
    83.90x = 115.53 × 83.63
  4. Step 4: Simplify right side
    83.90x = 9,661.77
  5. Step 5: Solve for x
    x = 9,661.77/83.90
  6. Step 6: Final answer
    x = 115.16

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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.