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Finding the Fourth Proportional to 621.45, 931.91 and 188.51

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Solution

The fourth proportional to 621.45, 931.91 and 188.51 is: 282.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.45 : 931.91 = 188.51 : x
  2. Step 2: Convert to fraction form
    621.45/931.91 = 188.51/x
  3. Step 3: Cross multiply
    621.45x = 931.91 × 188.51
  4. Step 4: Simplify right side
    621.45x = 175,668.75
  5. Step 5: Solve for x
    x = 175,668.75/621.45
  6. Step 6: Final answer
    x = 282.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.