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Finding the Fourth Proportional to 305.17, 457.75 and 183.52

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Solution

The fourth proportional to 305.17, 457.75 and 183.52 is: 275.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.17 : 457.75 = 183.52 : x
  2. Step 2: Convert to fraction form
    305.17/457.75 = 183.52/x
  3. Step 3: Cross multiply
    305.17x = 457.75 × 183.52
  4. Step 4: Simplify right side
    305.17x = 84,004.51
  5. Step 5: Solve for x
    x = 84,004.51/305.17
  6. Step 6: Final answer
    x = 275.27

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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.