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Finding the Fourth Proportional to 102.64, 154.08 and 57.08

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Solution

The fourth proportional to 102.64, 154.08 and 57.08 is: 85.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.64 : 154.08 = 57.08 : x
  2. Step 2: Convert to fraction form
    102.64/154.08 = 57.08/x
  3. Step 3: Cross multiply
    102.64x = 154.08 × 57.08
  4. Step 4: Simplify right side
    102.64x = 8,794.89
  5. Step 5: Solve for x
    x = 8,794.89/102.64
  6. Step 6: Final answer
    x = 85.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.