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Finding the Fourth Proportional to 654.23, 981.14 and 215.38

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Solution

The fourth proportional to 654.23, 981.14 and 215.38 is: 323.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.23 : 981.14 = 215.38 : x
  2. Step 2: Convert to fraction form
    654.23/981.14 = 215.38/x
  3. Step 3: Cross multiply
    654.23x = 981.14 × 215.38
  4. Step 4: Simplify right side
    654.23x = 211,322.13
  5. Step 5: Solve for x
    x = 211,322.13/654.23
  6. Step 6: Final answer
    x = 323.01

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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.