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Finding the Fourth Proportional to 65.28, 97.45 and 56.78

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Solution

The fourth proportional to 65.28, 97.45 and 56.78 is: 84.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.28 : 97.45 = 56.78 : x
  2. Step 2: Convert to fraction form
    65.28/97.45 = 56.78/x
  3. Step 3: Cross multiply
    65.28x = 97.45 × 56.78
  4. Step 4: Simplify right side
    65.28x = 5,533.21
  5. Step 5: Solve for x
    x = 5,533.21/65.28
  6. Step 6: Final answer
    x = 84.76

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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.