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Finding the Fourth Proportional to 306.77, 459.56 and 203.74

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Solution

The fourth proportional to 306.77, 459.56 and 203.74 is: 305.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.77 : 459.56 = 203.74 : x
  2. Step 2: Convert to fraction form
    306.77/459.56 = 203.74/x
  3. Step 3: Cross multiply
    306.77x = 459.56 × 203.74
  4. Step 4: Simplify right side
    306.77x = 93,630.11
  5. Step 5: Solve for x
    x = 93,630.11/306.77
  6. Step 6: Final answer
    x = 305.22

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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.