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Finding the Fourth Proportional to 284.55, 424.91 and 226.13

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Solution

The fourth proportional to 284.55, 424.91 and 226.13 is: 337.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.55 : 424.91 = 226.13 : x
  2. Step 2: Convert to fraction form
    284.55/424.91 = 226.13/x
  3. Step 3: Cross multiply
    284.55x = 424.91 × 226.13
  4. Step 4: Simplify right side
    284.55x = 96,083.34
  5. Step 5: Solve for x
    x = 96,083.34/284.55
  6. Step 6: Final answer
    x = 337.67

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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.