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Finding the Fourth Proportional to 142.55, 212.50 and 140.93

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Solution

The fourth proportional to 142.55, 212.50 and 140.93 is: 210.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.55 : 212.50 = 140.93 : x
  2. Step 2: Convert to fraction form
    142.55/212.50 = 140.93/x
  3. Step 3: Cross multiply
    142.55x = 212.50 × 140.93
  4. Step 4: Simplify right side
    142.55x = 29,947.63
  5. Step 5: Solve for x
    x = 29,947.63/142.55
  6. Step 6: Final answer
    x = 210.09

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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.