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Finding the Fourth Proportional to 284.68, 429.15 and 265.87

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Solution

The fourth proportional to 284.68, 429.15 and 265.87 is: 400.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.68 : 429.15 = 265.87 : x
  2. Step 2: Convert to fraction form
    284.68/429.15 = 265.87/x
  3. Step 3: Cross multiply
    284.68x = 429.15 × 265.87
  4. Step 4: Simplify right side
    284.68x = 114,099.64
  5. Step 5: Solve for x
    x = 114,099.64/284.68
  6. Step 6: Final answer
    x = 400.80

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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.