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Finding the Fourth Proportional to 484.95, 669.23 and 263.90

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Solution

The fourth proportional to 484.95, 669.23 and 263.90 is: 364.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.95 : 669.23 = 263.90 : x
  2. Step 2: Convert to fraction form
    484.95/669.23 = 263.90/x
  3. Step 3: Cross multiply
    484.95x = 669.23 × 263.90
  4. Step 4: Simplify right side
    484.95x = 176,605.13
  5. Step 5: Solve for x
    x = 176,605.13/484.95
  6. Step 6: Final answer
    x = 364.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.