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Finding the Fourth Proportional to 65.00, 97.88 and 64.32

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Solution

The fourth proportional to 65.00, 97.88 and 64.32 is: 96.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.00 : 97.88 = 64.32 : x
  2. Step 2: Convert to fraction form
    65.00/97.88 = 64.32/x
  3. Step 3: Cross multiply
    65.00x = 97.88 × 64.32
  4. Step 4: Simplify right side
    65.00x = 6,295.77
  5. Step 5: Solve for x
    x = 6,295.77/65.00
  6. Step 6: Final answer
    x = 96.85

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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.