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Finding the Fourth Proportional to 216.63, 323.70 and 147.58

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Solution

The fourth proportional to 216.63, 323.70 and 147.58 is: 220.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.63 : 323.70 = 147.58 : x
  2. Step 2: Convert to fraction form
    216.63/323.70 = 147.58/x
  3. Step 3: Cross multiply
    216.63x = 323.70 × 147.58
  4. Step 4: Simplify right side
    216.63x = 47,771.65
  5. Step 5: Solve for x
    x = 47,771.65/216.63
  6. Step 6: Final answer
    x = 220.52

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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.