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Finding the Fourth Proportional to 129.03, 178 and 77.25

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Solution

The fourth proportional to 129.03, 178 and 77.25 is: 106.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.03 : 178 = 77.25 : x
  2. Step 2: Convert to fraction form
    129.03/178 = 77.25/x
  3. Step 3: Cross multiply
    129.03x = 178 × 77.25
  4. Step 4: Simplify right side
    129.03x = 13,750.50
  5. Step 5: Solve for x
    x = 13,750.50/129.03
  6. Step 6: Final answer
    x = 106.57

Related Problems

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1.5x scale

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.