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Finding the Fourth Proportional to 148.19, 202.61 and 142.52

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Solution

The fourth proportional to 148.19, 202.61 and 142.52 is: 194.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.19 : 202.61 = 142.52 : x
  2. Step 2: Convert to fraction form
    148.19/202.61 = 142.52/x
  3. Step 3: Cross multiply
    148.19x = 202.61 × 142.52
  4. Step 4: Simplify right side
    148.19x = 28,875.77
  5. Step 5: Solve for x
    x = 28,875.77/148.19
  6. Step 6: Final answer
    x = 194.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.