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Finding the Fourth Proportional to 64.36, 96.50 and 42.70

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Solution

The fourth proportional to 64.36, 96.50 and 42.70 is: 64.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.36 : 96.50 = 42.70 : x
  2. Step 2: Convert to fraction form
    64.36/96.50 = 42.70/x
  3. Step 3: Cross multiply
    64.36x = 96.50 × 42.70
  4. Step 4: Simplify right side
    64.36x = 4,120.55
  5. Step 5: Solve for x
    x = 4,120.55/64.36
  6. Step 6: Final answer
    x = 64.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.