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Finding the Fourth Proportional to 307.87, 463.28 and 253.42

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Solution

The fourth proportional to 307.87, 463.28 and 253.42 is: 381.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.87 : 463.28 = 253.42 : x
  2. Step 2: Convert to fraction form
    307.87/463.28 = 253.42/x
  3. Step 3: Cross multiply
    307.87x = 463.28 × 253.42
  4. Step 4: Simplify right side
    307.87x = 117,402.10
  5. Step 5: Solve for x
    x = 117,402.10/307.87
  6. Step 6: Final answer
    x = 381.34

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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.