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Finding the Fourth Proportional to 76.28, 114.33 and 56.08

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Solution

The fourth proportional to 76.28, 114.33 and 56.08 is: 84.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.28 : 114.33 = 56.08 : x
  2. Step 2: Convert to fraction form
    76.28/114.33 = 56.08/x
  3. Step 3: Cross multiply
    76.28x = 114.33 × 56.08
  4. Step 4: Simplify right side
    76.28x = 6,411.63
  5. Step 5: Solve for x
    x = 6,411.63/76.28
  6. Step 6: Final answer
    x = 84.05

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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.