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Finding the Fourth Proportional to 306.64, 459.60 and 133.24

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Solution

The fourth proportional to 306.64, 459.60 and 133.24 is: 199.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.64 : 459.60 = 133.24 : x
  2. Step 2: Convert to fraction form
    306.64/459.60 = 133.24/x
  3. Step 3: Cross multiply
    306.64x = 459.60 × 133.24
  4. Step 4: Simplify right side
    306.64x = 61,237.10
  5. Step 5: Solve for x
    x = 61,237.10/306.64
  6. Step 6: Final answer
    x = 199.70

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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.