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Finding the Fourth Proportional to 661.03, 991.10 and 295.31

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Solution

The fourth proportional to 661.03, 991.10 and 295.31 is: 442.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.03 : 991.10 = 295.31 : x
  2. Step 2: Convert to fraction form
    661.03/991.10 = 295.31/x
  3. Step 3: Cross multiply
    661.03x = 991.10 × 295.31
  4. Step 4: Simplify right side
    661.03x = 292,684.96
  5. Step 5: Solve for x
    x = 292,684.96/661.03
  6. Step 6: Final answer
    x = 442.77

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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.