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Finding the Fourth Proportional to 76.42, 114.58 and 53.64

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Solution

The fourth proportional to 76.42, 114.58 and 53.64 is: 80.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.42 : 114.58 = 53.64 : x
  2. Step 2: Convert to fraction form
    76.42/114.58 = 53.64/x
  3. Step 3: Cross multiply
    76.42x = 114.58 × 53.64
  4. Step 4: Simplify right side
    76.42x = 6,146.07
  5. Step 5: Solve for x
    x = 6,146.07/76.42
  6. Step 6: Final answer
    x = 80.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.