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Finding the Fourth Proportional to 305.02, 457.67 and 189.53

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Solution

The fourth proportional to 305.02, 457.67 and 189.53 is: 284.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.02 : 457.67 = 189.53 : x
  2. Step 2: Convert to fraction form
    305.02/457.67 = 189.53/x
  3. Step 3: Cross multiply
    305.02x = 457.67 × 189.53
  4. Step 4: Simplify right side
    305.02x = 86,742.20
  5. Step 5: Solve for x
    x = 86,742.20/305.02
  6. Step 6: Final answer
    x = 284.38

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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.