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Finding the Fourth Proportional to 155.90, 214.23 and 148.76

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Solution

The fourth proportional to 155.90, 214.23 and 148.76 is: 204.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.90 : 214.23 = 148.76 : x
  2. Step 2: Convert to fraction form
    155.90/214.23 = 148.76/x
  3. Step 3: Cross multiply
    155.90x = 214.23 × 148.76
  4. Step 4: Simplify right side
    155.90x = 31,868.85
  5. Step 5: Solve for x
    x = 31,868.85/155.90
  6. Step 6: Final answer
    x = 204.42

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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.