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Finding the Fourth Proportional to 142.55, 212.69 and 129.10

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Solution

The fourth proportional to 142.55, 212.69 and 129.10 is: 192.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.55 : 212.69 = 129.10 : x
  2. Step 2: Convert to fraction form
    142.55/212.69 = 129.10/x
  3. Step 3: Cross multiply
    142.55x = 212.69 × 129.10
  4. Step 4: Simplify right side
    142.55x = 27,457.22
  5. Step 5: Solve for x
    x = 27,457.22/142.55
  6. Step 6: Final answer
    x = 192.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.