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Finding the Fourth Proportional to 93.81, 129.46 and 64.72

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Solution

The fourth proportional to 93.81, 129.46 and 64.72 is: 89.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.81 : 129.46 = 64.72 : x
  2. Step 2: Convert to fraction form
    93.81/129.46 = 64.72/x
  3. Step 3: Cross multiply
    93.81x = 129.46 × 64.72
  4. Step 4: Simplify right side
    93.81x = 8,378.65
  5. Step 5: Solve for x
    x = 8,378.65/93.81
  6. Step 6: Final answer
    x = 89.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.