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Finding the Fourth Proportional to 284.56, 429.07 and 265.42

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Solution

The fourth proportional to 284.56, 429.07 and 265.42 is: 400.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.56 : 429.07 = 265.42 : x
  2. Step 2: Convert to fraction form
    284.56/429.07 = 265.42/x
  3. Step 3: Cross multiply
    284.56x = 429.07 × 265.42
  4. Step 4: Simplify right side
    284.56x = 113,883.76
  5. Step 5: Solve for x
    x = 113,883.76/284.56
  6. Step 6: Final answer
    x = 400.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.