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Finding the Fourth Proportional to 76.22, 114.76 and 58.34

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Solution

The fourth proportional to 76.22, 114.76 and 58.34 is: 87.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.22 : 114.76 = 58.34 : x
  2. Step 2: Convert to fraction form
    76.22/114.76 = 58.34/x
  3. Step 3: Cross multiply
    76.22x = 114.76 × 58.34
  4. Step 4: Simplify right side
    76.22x = 6,695.10
  5. Step 5: Solve for x
    x = 6,695.10/76.22
  6. Step 6: Final answer
    x = 87.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.