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Finding the Fourth Proportional to 147.41, 219.77 and 143.67

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Solution

The fourth proportional to 147.41, 219.77 and 143.67 is: 214.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.41 : 219.77 = 143.67 : x
  2. Step 2: Convert to fraction form
    147.41/219.77 = 143.67/x
  3. Step 3: Cross multiply
    147.41x = 219.77 × 143.67
  4. Step 4: Simplify right side
    147.41x = 31,574.36
  5. Step 5: Solve for x
    x = 31,574.36/147.41
  6. Step 6: Final answer
    x = 214.19

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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.