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Finding the Fourth Proportional to 93.80, 141.50 and 90.23

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Solution

The fourth proportional to 93.80, 141.50 and 90.23 is: 136.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.80 : 141.50 = 90.23 : x
  2. Step 2: Convert to fraction form
    93.80/141.50 = 90.23/x
  3. Step 3: Cross multiply
    93.80x = 141.50 × 90.23
  4. Step 4: Simplify right side
    93.80x = 12,767.06
  5. Step 5: Solve for x
    x = 12,767.06/93.80
  6. Step 6: Final answer
    x = 136.11

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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.