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Finding the Fourth Proportional to 309.95, 465.14 and 165.77

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Solution

The fourth proportional to 309.95, 465.14 and 165.77 is: 248.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.95 : 465.14 = 165.77 : x
  2. Step 2: Convert to fraction form
    309.95/465.14 = 165.77/x
  3. Step 3: Cross multiply
    309.95x = 465.14 × 165.77
  4. Step 4: Simplify right side
    309.95x = 77,105.43
  5. Step 5: Solve for x
    x = 77,105.43/309.95
  6. Step 6: Final answer
    x = 248.77

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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.