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Finding the Fourth Proportional to 284.77, 390.71 and 275.86

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Solution

The fourth proportional to 284.77, 390.71 and 275.86 is: 378.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.77 : 390.71 = 275.86 : x
  2. Step 2: Convert to fraction form
    284.77/390.71 = 275.86/x
  3. Step 3: Cross multiply
    284.77x = 390.71 × 275.86
  4. Step 4: Simplify right side
    284.77x = 107,781.26
  5. Step 5: Solve for x
    x = 107,781.26/284.77
  6. Step 6: Final answer
    x = 378.49

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.