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Finding the Fourth Proportional to 505.95, 758.99 and 176.84

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Solution

The fourth proportional to 505.95, 758.99 and 176.84 is: 265.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.95 : 758.99 = 176.84 : x
  2. Step 2: Convert to fraction form
    505.95/758.99 = 176.84/x
  3. Step 3: Cross multiply
    505.95x = 758.99 × 176.84
  4. Step 4: Simplify right side
    505.95x = 134,218.24
  5. Step 5: Solve for x
    x = 134,218.24/505.95
  6. Step 6: Final answer
    x = 265.28

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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.