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Finding the Fourth Proportional to 84.03, 115.86 and 56.04

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Solution

The fourth proportional to 84.03, 115.86 and 56.04 is: 77.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.03 : 115.86 = 56.04 : x
  2. Step 2: Convert to fraction form
    84.03/115.86 = 56.04/x
  3. Step 3: Cross multiply
    84.03x = 115.86 × 56.04
  4. Step 4: Simplify right side
    84.03x = 6,492.79
  5. Step 5: Solve for x
    x = 6,492.79/84.03
  6. Step 6: Final answer
    x = 77.27

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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.