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Finding the Fourth Proportional to 389.83, 538.05 and 284.92

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Solution

The fourth proportional to 389.83, 538.05 and 284.92 is: 393.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.83 : 538.05 = 284.92 : x
  2. Step 2: Convert to fraction form
    389.83/538.05 = 284.92/x
  3. Step 3: Cross multiply
    389.83x = 538.05 × 284.92
  4. Step 4: Simplify right side
    389.83x = 153,301.21
  5. Step 5: Solve for x
    x = 153,301.21/389.83
  6. Step 6: Final answer
    x = 393.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.