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Finding the Fourth Proportional to 306.60, 459.86 and 87.21

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Solution

The fourth proportional to 306.60, 459.86 and 87.21 is: 130.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.60 : 459.86 = 87.21 : x
  2. Step 2: Convert to fraction form
    306.60/459.86 = 87.21/x
  3. Step 3: Cross multiply
    306.60x = 459.86 × 87.21
  4. Step 4: Simplify right side
    306.60x = 40,104.39
  5. Step 5: Solve for x
    x = 40,104.39/306.60
  6. Step 6: Final answer
    x = 130.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.