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Finding the Fourth Proportional to 93.20, 128.62 and 53.85

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Solution

The fourth proportional to 93.20, 128.62 and 53.85 is: 74.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.20 : 128.62 = 53.85 : x
  2. Step 2: Convert to fraction form
    93.20/128.62 = 53.85/x
  3. Step 3: Cross multiply
    93.20x = 128.62 × 53.85
  4. Step 4: Simplify right side
    93.20x = 6,926.74
  5. Step 5: Solve for x
    x = 6,926.74/93.20
  6. Step 6: Final answer
    x = 74.33

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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.