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Finding the Fourth Proportional to 147.40, 219.37 and 141.93

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Solution

The fourth proportional to 147.40, 219.37 and 141.93 is: 211.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.40 : 219.37 = 141.93 : x
  2. Step 2: Convert to fraction form
    147.40/219.37 = 141.93/x
  3. Step 3: Cross multiply
    147.40x = 219.37 × 141.93
  4. Step 4: Simplify right side
    147.40x = 31,135.18
  5. Step 5: Solve for x
    x = 31,135.18/147.40
  6. Step 6: Final answer
    x = 211.23

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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.