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Finding the Fourth Proportional to 93.07, 140.25 and 77.18

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Solution

The fourth proportional to 93.07, 140.25 and 77.18 is: 116.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.07 : 140.25 = 77.18 : x
  2. Step 2: Convert to fraction form
    93.07/140.25 = 77.18/x
  3. Step 3: Cross multiply
    93.07x = 140.25 × 77.18
  4. Step 4: Simplify right side
    93.07x = 10,823.79
  5. Step 5: Solve for x
    x = 10,823.79/93.07
  6. Step 6: Final answer
    x = 116.30

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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.