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Finding the Fourth Proportional to 307.55, 462.24 and 284.91

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Solution

The fourth proportional to 307.55, 462.24 and 284.91 is: 428.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.55 : 462.24 = 284.91 : x
  2. Step 2: Convert to fraction form
    307.55/462.24 = 284.91/x
  3. Step 3: Cross multiply
    307.55x = 462.24 × 284.91
  4. Step 4: Simplify right side
    307.55x = 131,696.80
  5. Step 5: Solve for x
    x = 131,696.80/307.55
  6. Step 6: Final answer
    x = 428.22

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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.