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Finding the Fourth Proportional to 284.59, 424.61 and 253.81

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Solution

The fourth proportional to 284.59, 424.61 and 253.81 is: 378.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.59 : 424.61 = 253.81 : x
  2. Step 2: Convert to fraction form
    284.59/424.61 = 253.81/x
  3. Step 3: Cross multiply
    284.59x = 424.61 × 253.81
  4. Step 4: Simplify right side
    284.59x = 107,770.26
  5. Step 5: Solve for x
    x = 107,770.26/284.59
  6. Step 6: Final answer
    x = 378.69

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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.