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Finding the Fourth Proportional to 304.68, 457.08 and 202.05

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Solution

The fourth proportional to 304.68, 457.08 and 202.05 is: 303.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.68 : 457.08 = 202.05 : x
  2. Step 2: Convert to fraction form
    304.68/457.08 = 202.05/x
  3. Step 3: Cross multiply
    304.68x = 457.08 × 202.05
  4. Step 4: Simplify right side
    304.68x = 92,353.01
  5. Step 5: Solve for x
    x = 92,353.01/304.68
  6. Step 6: Final answer
    x = 303.11

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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.