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Finding the Fourth Proportional to 661.15, 991.97 and 310.07

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Solution

The fourth proportional to 661.15, 991.97 and 310.07 is: 465.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.15 : 991.97 = 310.07 : x
  2. Step 2: Convert to fraction form
    661.15/991.97 = 310.07/x
  3. Step 3: Cross multiply
    661.15x = 991.97 × 310.07
  4. Step 4: Simplify right side
    661.15x = 307,580.14
  5. Step 5: Solve for x
    x = 307,580.14/661.15
  6. Step 6: Final answer
    x = 465.22

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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.