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Finding the Fourth Proportional to 304.53, 456.90 and 99.09

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Solution

The fourth proportional to 304.53, 456.90 and 99.09 is: 148.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.53 : 456.90 = 99.09 : x
  2. Step 2: Convert to fraction form
    304.53/456.90 = 99.09/x
  3. Step 3: Cross multiply
    304.53x = 456.90 × 99.09
  4. Step 4: Simplify right side
    304.53x = 45,274.22
  5. Step 5: Solve for x
    x = 45,274.22/304.53
  6. Step 6: Final answer
    x = 148.67

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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.