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Finding the Fourth Proportional to 302.79, 452.01 and 281.38

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Solution

The fourth proportional to 302.79, 452.01 and 281.38 is: 420.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.79 : 452.01 = 281.38 : x
  2. Step 2: Convert to fraction form
    302.79/452.01 = 281.38/x
  3. Step 3: Cross multiply
    302.79x = 452.01 × 281.38
  4. Step 4: Simplify right side
    302.79x = 127,186.57
  5. Step 5: Solve for x
    x = 127,186.57/302.79
  6. Step 6: Final answer
    x = 420.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.