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Finding the Fourth Proportional to 284.17, 424.19 and 245.89

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Solution

The fourth proportional to 284.17, 424.19 and 245.89 is: 367.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.17 : 424.19 = 245.89 : x
  2. Step 2: Convert to fraction form
    284.17/424.19 = 245.89/x
  3. Step 3: Cross multiply
    284.17x = 424.19 × 245.89
  4. Step 4: Simplify right side
    284.17x = 104,304.08
  5. Step 5: Solve for x
    x = 104,304.08/284.17
  6. Step 6: Final answer
    x = 367.05

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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.