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Finding the Fourth Proportional to 302.42, 452.92 and 148.45

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Solution

The fourth proportional to 302.42, 452.92 and 148.45 is: 222.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.42 : 452.92 = 148.45 : x
  2. Step 2: Convert to fraction form
    302.42/452.92 = 148.45/x
  3. Step 3: Cross multiply
    302.42x = 452.92 × 148.45
  4. Step 4: Simplify right side
    302.42x = 67,235.97
  5. Step 5: Solve for x
    x = 67,235.97/302.42
  6. Step 6: Final answer
    x = 222.33

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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.