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Finding the Fourth Proportional to 93.26, 128.64 and 58.30

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Solution

The fourth proportional to 93.26, 128.64 and 58.30 is: 80.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.26 : 128.64 = 58.30 : x
  2. Step 2: Convert to fraction form
    93.26/128.64 = 58.30/x
  3. Step 3: Cross multiply
    93.26x = 128.64 × 58.30
  4. Step 4: Simplify right side
    93.26x = 7,499.71
  5. Step 5: Solve for x
    x = 7,499.71/93.26
  6. Step 6: Final answer
    x = 80.42

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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.