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Finding the Fourth Proportional to 284.85, 424.87 and 261.25

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Solution

The fourth proportional to 284.85, 424.87 and 261.25 is: 389.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.85 : 424.87 = 261.25 : x
  2. Step 2: Convert to fraction form
    284.85/424.87 = 261.25/x
  3. Step 3: Cross multiply
    284.85x = 424.87 × 261.25
  4. Step 4: Simplify right side
    284.85x = 110,995.57
  5. Step 5: Solve for x
    x = 110,995.57/284.85
  6. Step 6: Final answer
    x = 389.66

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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.