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Finding the Fourth Proportional to 76.89, 114.78 and 65.28

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Solution

The fourth proportional to 76.89, 114.78 and 65.28 is: 97.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.89 : 114.78 = 65.28 : x
  2. Step 2: Convert to fraction form
    76.89/114.78 = 65.28/x
  3. Step 3: Cross multiply
    76.89x = 114.78 × 65.28
  4. Step 4: Simplify right side
    76.89x = 7,492.84
  5. Step 5: Solve for x
    x = 7,492.84/76.89
  6. Step 6: Final answer
    x = 97.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.