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Finding the Fourth Proportional to 142.74, 212.63 and 139.50

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Solution

The fourth proportional to 142.74, 212.63 and 139.50 is: 207.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.74 : 212.63 = 139.50 : x
  2. Step 2: Convert to fraction form
    142.74/212.63 = 139.50/x
  3. Step 3: Cross multiply
    142.74x = 212.63 × 139.50
  4. Step 4: Simplify right side
    142.74x = 29,661.19
  5. Step 5: Solve for x
    x = 29,661.19/142.74
  6. Step 6: Final answer
    x = 207.80

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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.