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Finding the Fourth Proportional to 142.65, 212.89 and 139.01

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Solution

The fourth proportional to 142.65, 212.89 and 139.01 is: 207.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.65 : 212.89 = 139.01 : x
  2. Step 2: Convert to fraction form
    142.65/212.89 = 139.01/x
  3. Step 3: Cross multiply
    142.65x = 212.89 × 139.01
  4. Step 4: Simplify right side
    142.65x = 29,593.84
  5. Step 5: Solve for x
    x = 29,593.84/142.65
  6. Step 6: Final answer
    x = 207.46

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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.