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Finding the Fourth Proportional to 64.97, 97.08 and 51.31

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Solution

The fourth proportional to 64.97, 97.08 and 51.31 is: 76.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.97 : 97.08 = 51.31 : x
  2. Step 2: Convert to fraction form
    64.97/97.08 = 51.31/x
  3. Step 3: Cross multiply
    64.97x = 97.08 × 51.31
  4. Step 4: Simplify right side
    64.97x = 4,981.17
  5. Step 5: Solve for x
    x = 4,981.17/64.97
  6. Step 6: Final answer
    x = 76.67

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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.