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Finding the Fourth Proportional to 309.28, 463.42 and 284.12

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Solution

The fourth proportional to 309.28, 463.42 and 284.12 is: 425.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.28 : 463.42 = 284.12 : x
  2. Step 2: Convert to fraction form
    309.28/463.42 = 284.12/x
  3. Step 3: Cross multiply
    309.28x = 463.42 × 284.12
  4. Step 4: Simplify right side
    309.28x = 131,666.89
  5. Step 5: Solve for x
    x = 131,666.89/309.28
  6. Step 6: Final answer
    x = 425.72

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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.