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Finding the Fourth Proportional to 467.79, 645.82 and 302.25

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Solution

The fourth proportional to 467.79, 645.82 and 302.25 is: 417.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.79 : 645.82 = 302.25 : x
  2. Step 2: Convert to fraction form
    467.79/645.82 = 302.25/x
  3. Step 3: Cross multiply
    467.79x = 645.82 × 302.25
  4. Step 4: Simplify right side
    467.79x = 195,199.10
  5. Step 5: Solve for x
    x = 195,199.10/467.79
  6. Step 6: Final answer
    x = 417.28

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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.