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Finding the Fourth Proportional to 61.16, 84.28 and 43.64

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Solution

The fourth proportional to 61.16, 84.28 and 43.64 is: 60.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.16 : 84.28 = 43.64 : x
  2. Step 2: Convert to fraction form
    61.16/84.28 = 43.64/x
  3. Step 3: Cross multiply
    61.16x = 84.28 × 43.64
  4. Step 4: Simplify right side
    61.16x = 3,678.14
  5. Step 5: Solve for x
    x = 3,678.14/61.16
  6. Step 6: Final answer
    x = 60.14

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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.