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Finding the Fourth Proportional to 467.72, 645.53 and 302.42

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Solution

The fourth proportional to 467.72, 645.53 and 302.42 is: 417.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.72 : 645.53 = 302.42 : x
  2. Step 2: Convert to fraction form
    467.72/645.53 = 302.42/x
  3. Step 3: Cross multiply
    467.72x = 645.53 × 302.42
  4. Step 4: Simplify right side
    467.72x = 195,221.18
  5. Step 5: Solve for x
    x = 195,221.18/467.72
  6. Step 6: Final answer
    x = 417.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.