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Finding the Fourth Proportional to 64.72, 97.46 and 53.99

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Solution

The fourth proportional to 64.72, 97.46 and 53.99 is: 81.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.72 : 97.46 = 53.99 : x
  2. Step 2: Convert to fraction form
    64.72/97.46 = 53.99/x
  3. Step 3: Cross multiply
    64.72x = 97.46 × 53.99
  4. Step 4: Simplify right side
    64.72x = 5,261.51
  5. Step 5: Solve for x
    x = 5,261.51/64.72
  6. Step 6: Final answer
    x = 81.30

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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.